On sequence of functions
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Operational techniques have drawn the attention of several researchers in the study of sequence of functions and polynomials. An attempt is made to introduce a new sequence of functions by using operational techniques. Some generating relations and finite summation formulae have been obtained. The corresponding MAPLE code for obtaining above sequence of functions for different values of parameters was also discussed.
Abstract
Operational techniques have drawn the attention of several researchers in the study of sequence of functions and polynomials. An attempt is made to introduce a new sequence of functions by using operational techniques. Some generating relations and finite summation formulae have been obtained. The corresponding MAPLE code for obtaining above sequence of functions for different values of parameters was also discussed.
참고문헌 (10)
- E. J. Berg, "Heaviside’s Operational Calculus" (1929), McGraw-Hill
- M. N. Berberan-Santos, "Properties of the Mittag-Leffler relaxation function", J. Math. Chem, 38(4), pp.629~635 (2005)
- H. B. Mittal, "Bilinear, and Bilateral generating relations", Amer. J. Math, 99(1), pp.23~45 (1977)
- K. R. Patil, "Operational formulas for a function defined by a gener- alized Rodrigues formula-II", Sci. J. Shivaji Univ, 15, pp.1~10 (1975)
- T. R. Prabhakar, "Some results on the polynomials", Rocky Mountain J. Math, 8(4), pp.751~754 (1978)
- E. D. Rainville, "Special Functions" (1960), The Macmillan Company
- A. N. Srivastava, "Some generating relations connected with a function defined by a generalized Rodrigues formula", Indian J. Pure Appl. Math, 10(10), pp.1312~1317 (1979)
- H. M. Srivastava, "Some biorthogonal polynomials suggested by the Laguerre polynomials", Pacific J. Math, 98(1), pp.235~250 (1982)
- H.M. Srivastava, "A Treatise on Generating Functions" (1984), Ellis Horwood Limited
- D. Zeilberger, "A MAPLE program for proving hypergeometric Identities", SIGSAM Bul- letin, 25(3), pp.4~13 (1991)
