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CERTAIN PATHWAY FRACTIONAL INTEGRAL FORMULAE INVOLVING EXTENDED k-HYPERGEOMETRIC FUNCTIONS

Author

Listed:
  • 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)

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.

Suggested Citation

  • Shilpi Jain & Parik Laxmi & Georgia Irina Oros & Praveen Agarwal & Shaher Momani, 2025. "CERTAIN PATHWAY FRACTIONAL INTEGRAL FORMULAE INVOLVING EXTENDED k-HYPERGEOMETRIC FUNCTIONS," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(04), pages 1-10.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:04:n:s0218348x25400675
    DOI: 10.1142/S0218348X25400675
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