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Certain integrals associated with generalized Mittag-Leffler function

Praveen Agarwal|최준상|Shilpi Jain|Mohammad Mehdi Rashidi
대한수학회 (The Korean Mathematical Society)|2017.01|대한수학회논문집 (Communications of the KMS)|제32권 제1호|pp. 29-38

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참고문헌

키워드

Gamma functionHermite polynomialsLaguerre polynomialsSrivastava polynomialsgeneralized Mittag-Leffler type functionsLauricella's multiple hypergeometric seriesPsi (or Digamma) function $\psi(z)$
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초록

The main objective of this paper is to establish certain unified integral formula involving the product of the generalized Mittag-Leffler type function $E^{(\gamma_j),(l_j)}_{(\rho_j),\lambda}[z_1,\ldots,z_r]$ and the Srivastava's polynomials $S^m_n[x]$. We also show how the main result here is general by demonstrating some interesting special cases.

Abstract

The main objective of this paper is to establish certain unified integral formula involving the product of the generalized Mittag-Leffler type function $E^{(\gamma_j),(l_j)}_{(\rho_j),\lambda}[z_1,\ldots,z_r]$ and the Srivastava's polynomials $S^m_n[x]$. We also show how the main result here is general by demonstrating some interesting special cases.

참고문헌 (26)

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