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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 73 Issue: 2

Certain results concerning (p, q)-parameterized beta logarithmic function and their properties

Nabiullah Khan(Aligarh Muslim University)0000-0003-0389-7899
Mohammad Iqbal Khan(Aligarh Muslim University)0000-0001-5469-1976
Mohd Saif(Madanpalle Institute of Technology and Science)0000-0002-2719-6002
Talha Usman(University of Technology and Applied Sciences)0000-0002-4208-6784
Pages
—
Publication Date
2024-06-21
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Numerous formulas of (p, q)-beta logarithmic functions such as integral formula, derivative formula, transformation formula and generating function are analyzed.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The primary object of this article is to introduce (p, q)-beta logarithmic function with extended beta function by using the logarithmic mean.
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Key Findings & Data:We evaluate different properties and representations of beta logarithmic function.
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Conclusion & Impact:Numerous formulas of (p, q)-beta logarithmic functions such as integral formula, derivative formula, transformation formula and generating function are analyzed.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Beta function · logarithmic mean · beta distribution

Abstract

The primary object of this article is to introduce (p, q)-beta logarithmic function with extended beta function by using the logarithmic mean. We evaluate different properties and representations of beta logarithmic function. Further, it is evaluated logarithmic distribution, hypergeometric and confluent hypergeometric functions via logarithmic mean are evaluated and their essential properties are studied. Numerous formulas of (p, q)-beta logarithmic functions such as integral formula, derivative formula, transformation formula and generating function are analyzed.

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Cite This Article

Khan, N., Khan, M. I., Saif, M., Usman, T. (2024). Certain results concerning (p, q)-parameterized beta logarithmic function and their properties. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 73 Issue: 2. https://doi.org/10.31801/cfsuasmas.1260059

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