Bounds for the (45d,;d)-extended Beta function and certain consequences
DOI10.7153/jmi-2023-17-94OpenAlexW4391457268MaRDI QIDQ6200301
Gradimir V. Milovanović, Rakesh Kumar Parmar, Tibor K. Pogány
Publication date: 29 February 2024
Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7153/jmi-2023-17-94
modified Bessel function of the second kindintegral representationsBernoulli inequalityGautschi inequalityupper incomplete gamma function\((p, \nu)\)-extended confluent hypergeometric function
Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20) Inequalities involving other types of functions (26D07)
Cites Work
- Unnamed Item
- Unnamed Item
- Generating functions for the generalized Gauss hypergeometric functions
- Some results on the extended beta and extended hypergeometric functions
- Extension of Euler's beta function
- Extended hypergeometric and confluent hypergeometric functions
- A \((p, \nu)\)-extension of the Appell function \(F_1(\cdot)\) and its properties
- Some Elementary Inequalities Relating to the Gamma and Incomplete Gamma Function
- On an extension of extended beta and hypergeometric functions
- On Mathieu-type series for the unified Gaussian hypergeometric functions
- Exact lower and upper bounds on the incomplete gamma function
This page was built for publication: Bounds for the (45d,;d)-extended Beta function and certain consequences
