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Certain Image Formulae and Fractional Kinetic Equations Involving Extended Hypergeometric Functions

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Book cover Advances in Real and Complex Analysis with Applications

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Abstract

In this chapter, our aim is to establish certain new image formulae of generalized hypergeometric functions by using the operators of fractional calculus. Some new image formulae are obtained by applying specific integral transforms on resulting image formulae. We also acquired generalization of fractional kinetic equations involving extended hypergeometric functions.

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Author information

Authors and Affiliations

  1. Faculty of Applied Sciences, Department of Mathematical Sciences, Charotar University of Science and Technology (CHARUSAT), Changa, 388421, Gujarat, India

    Krunal B. Kachhia

  2. Department of Mathematics, Anand International College of Engineering, Jaipur, 303012, Rajasthan, India

    Praveen Agarwal

  3. Department of Mathematics, Marwadi University, Rajkot-Morbi Road, Rajkot, 360003, Gujarat, India

    Jyotindra C. Prajapati

Authors
  1. Krunal B. Kachhia
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  2. Praveen Agarwal
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  3. Jyotindra C. Prajapati
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Corresponding author

Correspondence to Praveen Agarwal .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Imperial College London, London, United Kingdom

    Michael Ruzhansky

  2. Department of Mathematics Education and the RINS, Gyeonsang National University, Jinju, Korea (Republic of)

    Yeol Je Cho

  3. Department of Mathematics, Anand International College of Engineering, Jaipur, Rajasthan, India

    Praveen Agarwal

  4. Departamento de Matemática Aplicada II, E.E. Aeronáutica e do Espazo, Universidade de Vigo, Ourense, Spain

    Iván Area

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Kachhia, K.B., Agarwal, P., Prajapati, J.C. (2017). Certain Image Formulae and Fractional Kinetic Equations Involving Extended Hypergeometric Functions. In: Ruzhansky, M., Cho, Y., Agarwal, P., Area, I. (eds) Advances in Real and Complex Analysis with Applications. Trends in Mathematics. Birkhäuser, Singapore. https://doi.org/10.1007/978-981-10-4337-6_1

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