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A remarkably large number of integrals whose integrands are associated, in particular, with a variety of special functions, for example, the hypergeometric and generalized hypergeometric functions have been recorded. Here we aim at presenting certain (presumably) new and (potentially) useful integral formulas whose integrands are involved in a product of ${}_2F_1$, Srivastava polynomials, and Kamp\'{e} de F\'{e}riet functions. The main results are derived with the help of some known definite integrals obtained earlier by Qureshi \emph{et al.} \cite{MI-KA-RP}. Some interesting special cases of our main results are also considered.
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참고문헌 (12)
참고문헌 신청
P. Agarwal / 2012 / On a new theorem involving the generalized Mellin-Barnes type of contour integrals and Srivastava polynomials / J. Appl. Math. Stat. Inform 8(2):29~35
P. Agarwal / 2012 / New theorems involving the generalized Mellin-Barnes type of contour integrals and general class of polynomials / Glob. J. Sci. Frontier Res. Math. Decision Sci 12(3):15~24
M. Chand / 2012 / New theorems involving the I-function and general class of polynomials / Glob. J. Sci. Frontier Res. Math. Decision Sci 12(4):89~99
M. I. Qureshi / 2011 / Some definite integrals of Gradshteyn-Ryzhik and other integrals / Glob. J. Sci. Frontier Res. Math. Decision Sci 11(4):75~80
L. J. Slater / 1966 / Generalized Hypergeometric Functions / Cambridge University Press
P. Agarwal / 2012 / New theorems involving the generalized Mellin-Barnes type of contour integrals and general class of polynomials / Glob. J. Sci. Frontier Res. Math. Decision Sci 12(3):15~24
M. Chand / 2012 / New theorems involving the I-function and general class of polynomials / Glob. J. Sci. Frontier Res. Math. Decision Sci 12(4):89~99
M. I. Qureshi / 2011 / Some definite integrals of Gradshteyn-Ryzhik and other integrals / Glob. J. Sci. Frontier Res. Math. Decision Sci 11(4):75~80
L. J. Slater / 1966 / Generalized Hypergeometric Functions / Cambridge University Press
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