Some Finite Integrals Involving Srivastava's Polynomials and the Aleph Function
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
In this paper, we establish certain integrals involving Srivastava’s Polynomials[5] and Aleph Function ([8], [10]). On account of general nature of the functionsand polynomials involved in the integrals, our results provide interesting unifications andgeneralizations of a large number of new and known results, which may find useful applicationsin the field of science and engineering. To illustrate, we have recorded some specialcases of our main results which are also sufficiently general and unified in nature and areof interest in themselves.
Abstract
In this paper, we establish certain integrals involving Srivastava’s Polynomials[5] and Aleph Function ([8], [10]). On account of general nature of the functionsand polynomials involved in the integrals, our results provide interesting unifications andgeneralizations of a large number of new and known results, which may find useful applicationsin the field of science and engineering. To illustrate, we have recorded some specialcases of our main results which are also sufficiently general and unified in nature and areof interest in themselves.
참고문헌 (10)
- P. Agarwal, "Finite integrals involving Jacobi Polynomials and I-Function", Theoretical Mathematics & Applications, 1(1), pp.115~123 (2011)
- F. Brafman, "Generating functions of Jacobi and related polynomials", Proc. Amer. Math. Soc., 2, pp.942~949 (1951)
- A. Erdelyi, "Transcendental Functions, Vol. 2" (1953), Mcgraw Hill
- I. S. Gradshteyin, "Table of integrals, Series and Products" (2001), Academic Press
- E. D. Rainville, "Special Functions" (1971), Chelsea Publication Company
- R. K. Saxena, "Mathieu type series for the N- Function occurring in Fokker { Planck equation", Eur. J. Pure Appl. Math., 3(6), pp.980~988 (2010)
- N. SÄudland, "Open Problem: Who knows about the Aleph (N)-Functions?", Fract. Calc. Appl. Anal., 1(4), pp.401~402 (1998)
- H. M. Srivastava, "A multilinear generating function for the Konhauser sets of biorthog-onal Polynomials suggested by the Laguerre polynomials", Pacific J. Math., 117, pp.183~191 (1985)
- H. M. Srivastava, "The H-function of one and two vari-ables with applications" (1982), South Asian publishers
- G. Szego, "Orthogonal polynomials" (1975), Amer. Math. Soc.