Further Results on the (p,k) - Analogue of Hypergeometric Functions Associated with Fractional Calculus Operators

Hidan Muajebah; Boulaaras Salah Mahmoud; Cherif Bahri-BelkacemAbdalla Mohamed

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Further Results on the (p,k) - Analogue of Hypergeometric Functions Associated with Fractional Calculus Operators

机译：Further Results on the (p,k) - Analogue of Hypergeometric Functions Associated with Fractional Calculus Operators

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In a previous article, first and last researchers introduced an extension of the hypergeometric functions which is called (p,k)-extended hypergeometric functions." Motivated by this work, here, we derive several novel properties for these functions, including integral representations, derivative formula, k-Beta transform, Laplace and inverse Laplace transforms, and operators of fractional calculus. Relevant connections of some of the discussed results here with those presented in earlier references are outlined.

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《Mathematical Problems in Engineering: Theory, Methods and Applications》 |2021年第15期|5535962.1-5535962.10|共10页
作者
Hidan Muajebah; Boulaaras Salah Mahmoud; Cherif Bahri-BelkacemAbdalla Mohamed;
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King Khalid Univ, Fac Sci, Dept Math, Abha 61471, Saudi Arabia;

Qassim Univ, Coll Arts & Sci, Dept Math, ArRas, Buraydah, Saudi Arabia|Univ Oran 1, Lab Fundamental & Appl Math Oran LMFAO, Oran 31000, Algeria;

Qassim Univ, Coll Arts & Sci, Dept Math, ArRas, Buraydah, Saudi Arabia|Preparatory Inst Engn Studies Sfax, Sfax, TunisiaKing Khalid Univ, Fac Sci, Dept Math, Abha 61471, Saudi Arabia|South Valley Univ, Fac Sci, Math Dept, Qena 83523, Egypt;

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Further Results on the (p,k) - Analogue of Hypergeometric Functions Associated with Fractional Calculus Operators

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