On the Turan Type Inequalities and k-Analogue of Some Special Functions

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Authors

  • Jeet B. Gajera
     Department of Mathematics, Sardar Vallabhbhai National Institute of Technology, Surat ,IN
  • Ranjan Kumar Jana
     Department of Mathematics, Sardar Vallabhbhai National Institute of Technology, Surat ,IN

DOI:

https://doi.org/10.18311/jims/2024/30476

Keywords:

Turan-type inequality, Cauchy-Bunyakovsky-Schwarz inequality, k-gamma function, k-gauss hypergeometric functions, k-confluent hypergeometric functions, k-Appell series F1,k
33Cxx, 26D07

Abstract

In this paper we deduced Tur´an-type inequalities for nth derivative of k-gamma function, k-gauss hypergeometric functions, k-confluent hypergeometric functions, and k-Appell series F1,k by using different generalizations of Cauchy-Bunyakovsky-Schwarz inequalities with parameter k > 0. Some special cases are also derived.

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Published

2024-01-01

How to Cite

Gajera, J. B., & Jana, R. K. (2024). On the Turan Type Inequalities and k-Analogue of Some Special Functions. The Journal of the Indian Mathematical Society, 91(1-2), 145–154. https://doi.org/10.18311/jims/2024/30476

Issue

Volume 91, Issue 1-2, January-June 2024

Section

Articles

License

Copyright (c) 2024 Jeet B. Gajera, Ranjan Kumar Jana

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2022-06-15
Accepted 2023-05-27
Published 2024-01-01

 

References

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