dr Predrag Rajković

Monography

Predrag M. Rajković, Slađana D. Marinković, Miomir S. Stanković,
Differential And Integral Calculus Of Basic Hypergeomteric Functions
Faculty of Mechanical Engineering, Niš, 2008.
(Mathematical Subject Classification: 33D15, 33D60, 33D45, 33C45, 39A13, 11B65, 26D15, 26A33, 30C15,41A30)

1. Papers published in refereed journals (SCI-list)
1. Predrag M. Rajković, Paul Barry, Marko D. Petković,
   Sobolev orthogonal polynomials in computing of Hankel determinants ,
   Linear Algebra and its Applications 437 (2012) 2417-2428. (M21).


2. Slađana D. Marinković, Miomir S. Stanković, Predrag M. Rajković,
   Functions induced by iterated deformed Laguerre derivative:
   Analytical and Operational approach ,
   Abstract and Applied Analysis (2012) 1-17.
   Hindawi Publishing Corporation Abstract and Applied Analysis volume 2012,
   Article ID 190726, 17 pages (M21).


3. Marko D. Petković, Slađana D. Marinković, Predrag M. Rajković,
   Closed-Form Expression for Hankel Determinants of the Narayana Polynomials. Czechoslovak Mathematical Journal, 62 (137) (2012) 39-57 (M23)


4. Miomir S. Stanković, Slađana D. Marinković, Predrag M. Rajković,
   The Deformed Exponential Functions of two variables in the context of Various Statistical Mechanics ,
   Applied Mathematics and Computation 218 (2011) 2439-2448 (M21).


5. Miomir S. Stanković, Slađana D. Marinković, Predrag M. Rajković,
   Deformed and Modified Mittag-Leffler Polynomials ,
   Applied Mathematics and Computation 218 (2011) 2439-2448 (M21).


6. Marko D. Petković, Paul Barry, Predrag M. Rajković,
   The Hankel transform of generalized central trinomial coefficients and related sequences ,
   Integral Transforms and Special Functions, 1476-8291, Vol. 22, Issue 1 (2011), 29-44 (M22).


7. Miomir S. Stanković, Predrag M. Rajković, Sladjana D. Marinković,
   On the Fractional q-Derivative of Caputo type ,
   Computes rendus de l'Académie bulgare des Sciences 63, No 2, 2010, 1-8. (M23)


8. Paul Barry, Predrag M. Rajković, Marko D. Petković,
   An Application of Sobolev Orthogonal Polynomials to the Computation of a Special Hankel Determinant ,
   chapter of the book "Approximation and Computation" (In honor of Gradimir V. Milovanović) Series: Springer optimization and its applications, Vol 42 (2010), pp. 1-8. (M13)


9. Predrag M. Rajković, Slađana D. Marinković, Miomir S. Stanković,
   A generalization of the concept of q-fractional integrals,
   Acta Mathematica Sinica, English version, Vol 25, No 10 (2009), 1635-1646. (M22)


10. Bratislav Danković, Predrag M. Rajković, Slađana D. Marinković,
    ON A CLASS OF ALMOST ORTHOGONAL POLYNOMIALS ,
    Published in Lecture Notes in Computer Science, Springer-Verlag,
    Proceedings of The Fourth Conference on Numerical Analysis and Applications,
    June (2008), Lozenetz, Bulgaria.


11. Slađana D. Marinković, Predrag M. Rajković, M. S. Stanković,
    THE INEQUALITIES FOR SOME TYPES OF Q-INTEGRALS ,
    Computers and Mathematics with Applications 56 (2008) 2498 (R51b)


12. Ratko Pavlović, Predrag M. Rajković, Ivan Pavlović,
    ALMOST SURE STABILITY OF A MOVING ELASTIC BAND,
    Journal of Applied Mechanics, July 2008, Volume 75, Issue 4, 041016 (5 pages) (R51b)


13. Ratko Pavlović, Predrag M. Rajković, Ivan Pavlović,
    DYNAMIC STABILITY OF THE VISCOELASTIC ROTATING SHAFT SUBJECTED TO RANDOM EXCITATION,
    International Journal of Mechanical Sciences, 50 (2008), PP. 359-364. (R51a)


14. W. Koepf, Predrag M. Rajković, Ivan Pavlović,Slađana D. Marinković,
    PROPERTIES OF q-HOLONOMIC FUNCTIONS,
    Journal of Difference Equations and Applications, Vol. 13, No. 7, July 2007, 621-638. 2005 Impact Factor: 0.615


15. Predrag M. Rajković, Marko D. Petković, Paul Barry,
    THE HANKEL TRANSFORM OF THE SUM OF CONSECUTIVE GENERALIZED CATALAN NUMBERS ,
    Integral Transforms and Special Functions, Vol. 18, Issue 4, 2007, 285-296


16. P. Kozić, Ratko Pavlović, Predrag M. Rajković,
    MOMENT LYAPUNOV EXPONENTS AND STOCHASTIC STABILITY OF A PARAMETRICALLY EXCITED OSCILATOR
    Meccanica, Vol. 42 (2007) 323-330.


17. Ratko Pavlović, Predrag M. Rajković, Ivan Pavlović,
    Dynamic stabillity of the viscoelastic rotating shaft subjected to random excitation ,
    International Journal of Mechanical Sciences, 50 (2008), PP. 359-264.


18. Ratko Pavlović, Predrag Kozić, Predrag M. Rajković, Ivan Pavlović,
    DYNAMIC STABILITY OF A THIN-WALLED BEAM SUBJECTED TO AXIAL LOADS AND END MOMENTS,
    Journal of Sound and Vibration 301 (2007) 690-700


19. Miloš Ivković, Ivan Djordjević, Predrag M. Rajković, Bane Vasić,
    Pulse Energy Probability Density Functions for Long-Haul Optical
    Fiber Transmission Systems by Using Instations and Edgeworth Expansion$$ ,
    IEEE Photonics Technology Letters, Vol 19, No 20, October 15, 2007, 1604-1606.


20. Predrag M. Rajković, Slađana D. Marinković, M. S. Stanković,
    ON q-ORTHOGONAL POLYNOMIALS OVER A COLLECTION OF COMPLEX ORIGIN INTERVALS RELATED TO LITTLE q-JACOBI POLYNOMIALS ,
    The Ramanujan Journal, Vol. 12, No. 2 (2006), 245-255


21. Predrag M. Rajković, Slađana D. Marinković, M. S. Stanković,
    On q-Newton-KANTOROVICH METHOD FOR SOLVING SYSTEMS OF EQUATIONS ,
    Applied Mathematics and Computation, Vol. 168/2 (2005) pp. 1432-1448. (Cited:1)


22. Slađana D. Marinković, Predrag M. Rajković,
    THE q-ANALOGUES OF LAGUERRE POLYNOMIALS OVER A COLLECTION OF COMPLEX ORIGIN INTERVALS$$,
    Integral Transforms and Special Functions, Vol. 16, No. 2 (March 2005) PP. 159-169.


23. Ratko Pavlović, Predrag Kozić, Predrag M. Rajković,
    INFLUENCE OF RANDOMLY VARYING DAMPING COEFFICIENT ON THE DYNAMIC STABILITY OF CONTINUOUS SYSTEMS ,
    European Journal of Mechanics A/Solids, 24 (2005), 81-87. (Cited: 1)


24. Slađana D. Marinković, Bratislav Danković, M. S. Stanković, Predrag M. Rajković,
    ORTHOGONALITY OF SOME SEQUENCES OF THE RATIONAL FUNCTIONS AND THE MUNTZ POLYNOMIALS$$ ,
    Journal of Computational and Applied Mathematics, Vol. 163, (2004), 419-427.


25. Ratko Pavlović, Predrag Kozić, Predrag M. Raković,
    INFLUENCE OF TRANSVERSE SHEAR ON THE STOCHASTIC INSTABILITY OF VISCOELASTIC BEAM ,
    International Journals of Solids and structures, 2001, Stanford California.


26. Gradimir V. Milovanović, Predrag M. Rajković,
    ON POLYNOMIALS ORTHOGONAL ON A CIRCULAR ARC ,
    J. Comp. Appl. Math, Vol 51, North Holland, 1994, 1-13 (Cited: 2)


27. Gradimir V. Milovanović, Predrag M. Rajković,
    GERONIMUS CONCEPT OF ORTHOGONALITY FOR POLYNOMIALS ORTHOGONAL ON A CIRCULAR ARC$$ ,
    Rendiconti di Mat., Ser. VII, Vol. 10, Roma, 1990, 383-390
2. Papers published in journals with international editorial board


1. Predrag M. Rajković, Slađana D. Marinković, M. S. Stanković,
   FRACTIONAL INTEGRALS AND DERIVATIVES IN q-CALCULUS$$,
   Applicable Analysis and Discrete Mathematics, 1 (2007), 311-323.


2. Predrag M. Rajković, Slađana D. Marinković, M. S. Stanković,
   ON q-ANALOGS OF CAPUTO DERIVATIVE AND MITTAG-LEFFLER FUNCTION,
   Fractional Calculus and Applied Analysis, (ISSN 1311 - 0454), Vol. 10, No 4 (2007), 359-374.


3. M. Stanković, Predrag M. Raković, Slađana D. Marinković,
   INEQUALITIES WHICH INCLUDE q-INTEGRALS
   Bulletin T. CXXXIII de l’Académie serbe des sciences et des arts −
   Classe des Sciences mathématiques et naturelles,
   Sciences mathématiques, No 31, Beograd 2006, 137-146


4. Predrag M. Rajković, Miomir S. Stanković and Slađana D. Marinković,
   "A METHOD FOR NUMERICAL EVALUATING OF INVERZE Z-TRANFSORM"
   Facta Universitatis, Niš, Ser. Mechanics, Automatic Control and Robotics, Vol. 4, No 16, 2004 pp. 133-139
   UDC 519.6(045)


5. Predrag M. Rajković, Miloš Ivković, Marko Petković,
   A CONJECTURE ABOUT POSITIVITY OF THE POLYNOMIALS OBTAINED BY THE EXPANDING OF A PRODRUCT,
   Mathematica Balkanica, New Series Vol. 18, 2004, Fasc. 3-4, 419-430.
   (exposed at Minisymposium "Transform Methods and Special Functions"
   Part of the Congress is organized by Mathematical Society of
   South-Eastern Europe-MASSEE) 2003. Borovets, Bulgaria.


6. Predrag M. Rajković, M. S. Stanković, Slađana D. Marinković,
   ON Q-ITERATIVE METHODS FOR EQUATION SOLVING,
   Novi Sad Journal of Mathematics, Vol 33, No 2, 2003, 127-137
   (Exposed at Conference of Applied Mathematics PRIM 2002, May 2002, Zlatibor, Serbia, Yugoslavia)


7. A. Cvetković, Predrag M. Rajković, Miloš Ivković,
   CATALAN NUMBERS, THE HANKEL TRANSFORM AND FIBONNACI NUMBERS$$
   The electronics Journal of Integer Sequences, ISSN 153-7638, Dep. of Comp. Sc., University of Arizona, USA, May 2002. (Cited: 46)


8. Predrag M. Rajković, M. S. Stanković, Slađana D. Marinković,
   MEAN VALUE THEOREMS IN q-CALCULUS,
   Matematički vesnik 54 (2002), Beograd, 171-178
   (Proceedings of International Conference "Mathematical Analysis and Application",
   October 2002, Niš, Yugoslavia) (Cited: 1)$$


9. Predrag M. Rajković, S. Marinković,
   ON Q-EXTENSIONS OF GENERALIZED HERMITE POLYNOMIALS
   FILOMAT, Vol. 15, 2001, Niš, Yugoslavia, 277-283


10. Gradimir V. Milovanović, Predrag M. Rajković, Z. M. Marjanović,
    ZERO DISTRIBUTION OF POLYNOMIALS ORTHOGONAL ON THE RADIAL RAYS IN THE COMPLEX PLANE,
    Facta Universitatis (Niš), Ser. Mathem.
    Inform. 12 (1997), 127-142.


11. Gradimir V. Milovanović, Predrag M. Rajković, Zvezdan M. Marjanović,
    A CLASS OF ORTHOGONAL POLYNOMIALS ON THE RADIAL RAYS IN THE COMPLEX PLANE (II part),
    Facta Univ., Ser. Math. Inform., Niš, Vol. 11, 1996, 29-47


12. Gradimir V. Milovanović, Predrag M. Rajković,
    COMPLEX ORTHOGONAL POLYNOMIALS WITH THE HERMITE WEIGHT,
    Publ. Elektrotehn. Fak. Ser. Mathem., Beograd, 1995, Vol 6, 63-73


3. Papers published in the proceedings of international conferences


1. Slađana D. Marinković, Predrag M. Rajković, Miomir S. Stanković,
   THE LINEAR Q-DIFFERENTIAL EQUATION AND Q-HOLONOMIC FUNCTIONS
   Proceedings of XVII Conference on Applied Mathematics, Novi Sad, Serbia, 2007, 13-20
   (PRIM 2006, UNIVERSITY OF NOVI SAD, FACULTY OF SCIENCE AND
   MATHEMATICS, DEPARTMENT OF MATHEMATICS AND INFORMATICS, Kraguevac, Serbia, September 25-27, 2006)


2. Marko D. Petković, Predrag M. Rajković,
   The Hankel transform of shifted Narayana polynomials
   Proceedings of XVII Conference on Applied Mathematics, Novi Sad, Serbia 2007, 79-84.
   (PRIM 2006, UNIVERSITY OF NOVI SAD, FACULTY OF SCIENCE AND
   MATHEMATICS, DEPARTMENT OF MATHEMATICS AND INFORMATICS, Kragujevac, Serbia, September 25-27, 2006)


3. Miomir S. Stanković, Predrag M. Rajković, Slađana D. Marinković,
   ON q-ANALOGS OF MITTAG-LEFFLER FUNCTION,
   Proceedings of the IX International SAUM Conference on Systems, Automatic Control and Measurements, Niš, Serbia, November, 2007, 99-102.


4. Miloš Ivković, Ivan Đorđević, Predrag M. Rajković, Bane Vasić,
   MODELING ERRORS IN LONG-HAUL OPTICAL FIBER TRANSMISSION SYSTEMS BY USING INSTANTIONS AND EDGEWORTH EXPANSION,
   Proceedings of ICC 2006 Optical Networks and Systems Symposium.


5. Predrag M. Rajković, Slađana D. Marinković, M. S. Stanković,
   FINDING THE ZEROS OF THE FUNCTIONS TREATED BY q-CALCULUS,
   Proceedings of The Sixth International Conference on Geometry, Integrability and Quantization, Sofia (2005) 284-296. (Conference held in Varna, Bulgaria (ed. I. M. Mladenov, A. C. Hirsshfeld, June, 2004.))


6. Predrag M. Rajković, Slađana D. Marinković, M. S. Stanković,
   ON q-NEWTON-KANTOROVICH METHOD FOR SOLVING SYSTEMS OF EQUATIONS,
   30. INTERNATIONAL CONFERENCE APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMY,
   Sozopol, Bulgaria, June, 7-12, 2004.


7. Zoran Milivojević, M. Mirković, Predrag M. Rajković, B. Milošević,
   Representation of speech signal bz algorithm with signature functions,
   ETRAN, Section: Električna kola i sistemi i procesiranje signala, Sednica: Algoritmi i modelovanje, Rad EK 3.5, str. 163-166, Budva, 2005.


8. Zoran Milivojević, M. Mirković, Predrag M. Rajković,
   Estimating of the fundamental frequency by using of the parametric cubic convolution interpolation,
   International Scientific Conference UNITECH '04, Session: Electroncis and Communication Engineering, pp. 138-141, Gabrovo, Bulgaria, 2004.


9. M. Mirković, Zoran Milivojević, Predrag M. Rajković,
   Perfomanse sistema sa implementiranim PCC algoritmom za procenu fundamentalne frekvencije,
   TELFOR '04, Sekcija: Obrada singala, Beograd, 2004.


10. Predrag M. Rajković, Miomir S. Stanković, Slađana D. Marinković,
    INVERSE Z-TRANSFORM AND ITS NUMERICAL COMPUTING,
    Computational Intelligence and Information Technologies
    (Proceedings of Fourth Worksop), Niš and Dortmund, 2003, 9-12.


11. Miomir S. Stanković, Slađana D. Marinković, Predrag M. Rajković,
    THE GENERALIZATION OF THE LEGENDRE POLYNOMIALS OBTAINED BY LAPLACE TRANSFORM
    Proceedings of 29th International Summer School "Application of Mathematics in Engineering and Economics", Sozopol, Bulgaria, 2003, 34-40.


12. Predrag M. Rajković, Miomir S. Stanković, Slađana D. Marinković,
    THE ZEROS OF POLYNOMIALS ORTHOGONAL WITH RESPECT TO q-INTEGRAL ON SEVERAL INTERVALS IN THE COMPLEX PLANE,
    The Fifth International Conference on Geometry, Integrability and Quantization, 2003, Varna, Bulgaria (ed. I. M. Mladenov, A. C. Hirsshfeld), 178-188.


13. Miomir S. Stanković, Predrag M. Rajković and Slađana D. Marinković
    SOLVING EQUATION BY Q-ITERATIVE METHODS AND Q-SENDOV CONECTURE,
    "Constructive Theory of Functions", (Special issue: Proceedings of Conference, Varna 2002, (B. Boanov, Ed.)), DARBA, Sofia, Bulgaria, 2003., pp. 412-418.


14. Ljiljana D. Petković, Predrag M. Rajković,
    BUGS OF THE SOTWARE FOR THE NUMERICAL AND SYMBOLIC EVALUATING
    Proceedings of Conference YUINFOR 2002, Kopaonik, Yugoslavia


15. Predrag M. Rajković
    THE RECONSTRUCTION OF THE WEIGHT FUNCTION FOR THREE-TERM RECURRENCE POLYNOMIAL SEQUENCE WITH ZEROS IN THE INTERVAL
    (-1, 1),
    Proceedings of the 10th Congress of Yugoslav Mathematicians, Belgrade, Yugoslavia, 2001, pp. 107-110.
16. Ratko Pavlović, Predrag Kozić, Predrag M. Rajković,
    INFLUENCE OF RANDOMLZ VARYING DAMPING COEFFICIENT ON THE DYNAMIC STABILITY CONTINUOUS SYSTEMS,
    Proceedings of XXI Yugoslav Congress of theoretical and applied Mechanics, 1995, Niš


17. Gradimir V. Milovanović, Predrag M. Rajković,
    GAUSS-LEGENDRE'S QUADRATURES ON A CIRCULAR ARC,
    Proceedings of Faculty of Mechanical Engineering, Niš, 1990,1--6


18. Gradimir V. Milovanović, Predrag M. Rajković,
    CONSIDERATIONS ABOUT COMPLEX ORTHOGONAL POLYNOMIALS,
    Proceedings of VII Seminar of Applied Mathematics, Osijek, Yugoslavia, 1989.


4. Papers published in the abstract-book of international conferences
1. Predrag M. Rajković, Marko D. Petković,
   On q-Calculus, Partitions and Tiling,
   Workshop, "New Multimedia Technology in Mathematics and Computer Science Education",
   Belgrade, September 21-23, 2006.


2. Marko D. Petković, Predrag M. Rajković,
   Visual considerations of q-polynomials, q-Beizer objects and famous conjectures, DAAD Spring Scool in Computer Graphics,
   "New Multimedia Technology in Mathematics and Computer Science Education", Berlin, April, 2006.


3. Predrag M. Rajković, Marko D. Petković,
   Visual introduction to q-calculus,
   Workshop "New Multimedia Technology in Mathematics and Computer Science Education",
   Belgrade, November, 2005.


4. Predrag M. Rajković, M. S. Stanković, Slađana D. Marinković,
   ON q-CALCULUS, NEWTON'S DIVIDED DIFFERNCES AND MEAN VALUE THEOREMS
   Mini-symposium "Optimization, Approximation and Multiscale Analysis with Applications to Signal and Image Processing", accompanying the Congress of MASSEE, Borovets, Bulgaria, 2003.


5. G. V. Milovanović, Predrag M. Rajković, Zvezdan M. Marjanović,
   MULTIPLE ORTHOGONAL POLYNOMIALS ON THE RADIAL RAYS, XIV Seminar of Applied Math., Novi Sad, Yugoslavia, 2000.


6. Milena Miljković, Todor Pecev and Predrag M. Rajković,
   SPECTROPHOMETRIC DETERMINATION OF PROCION COLOURS CONCETRATION REQUIRED FOR THE APROPPRIATE COLOURING OF THE CELLULOSE TEXTYLE,
   Proceedings of Chemistry Conference, Sarajevo, Yugoslavia, 1991.
7. Predrag M. Rajković and Miomir S. Stanković,
   COMPUTING AND VISUALIZATION OF FRACTIONAL TRANSFORMS BY MATHEMATICA, "Vive Math"- Workshop on Visualization and Verbalization of Mathematics and Interdisciplinary Aspects, Faculty of Science and Mathematics, December 2001, Niš, Yugoslavia.


8. Mirjana Vidanović, Miomir S. Stanković, Predrag M. Rajković,
   TRIGONOMETRIC INTEGRAL TRANSFORMS AND SUMMATION OF SOME SERIES IN TERMS OF RIEMANN ZETA FUNCTION,
   Wavelets and Integral Transforms, April 2002, Novi Sad, Serbi, Yugoslavia.


5. Papers published in the abstract-book of national conferences


1. Predrag M. Rajković
   Infinite products,
   Republic seminar "Education in mathematics and computer sciences",
   Niš, January 11-12, 2008.

BOOKS

Ljiljana Petković, S. Tričković, Predrag M. Rajković,
A COLLECTION OF TASKS IN NUMERICAL ANALYSIS,
Faculty of Mechanical Engineering, Niš, 1997.