CERTAIN PATHWAY FRACTIONAL INTEGRAL FORMULAE INVOLVING EXTENDED k-HYPERGEOMETRIC FUNCTIONS

Shilpi Jain, Parik Laxmi (), Georgia Irina Oros, Praveen Agarwal and Shaher Momani
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Shilpi Jain: Poornima College of Engineering, Jaipur 302022, India
Parik Laxmi: Poornima University, Jaipur 302022, India
Georgia Irina Oros: Department of Mathematics and Computer Science, Faculty of Informatics and Sciences, University of Oradea, str. Universitatii nr. 1, 410087, Oradea, Romania
Praveen Agarwal: Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE5Department of Mathematical Sciences, Saveetha School of Engineering, Chennai 602105, Tamil Nadu, India6Department of Mathematics, Anand International College of Engineering, Jaipur 303012, India
Shaher Momani: Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE7Department of Mathematics, School of Science, The University of Jordan, Amman 11942, Jordan

FRACTALS (fractals), 2025, vol. 33, issue 04, 1-10

Abstract: Inspired by all the earlier generalizations and extensions, in this paper, we introduce some new extensions of the pathway fractional integral formulae for extended and confluent k-type hypergeometric functions. Also, by adding certain values to the parameters, several unique conditions are also described.

Keywords: Pathway Fractional Integral; k-Beta Function; k-Gamma Function; Gauss k-Hypergeometric Function; Confluent k-Hypergeometric Function (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25400675

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