SavedAdd your journal

Journals / Adıyaman Üniversitesi Fen Bilimleri Dergisi / 2019 / Cilt: 9 - Sayı: 1

Some Monotonicity Properties on 𝒌-Gamma Function

𝒌‐Gama Fonksiyonu Üzerine Bazı Monotonluk Özellikleri

Emrah YILDIRIM
İnci EGE
Pages
66–76
Publication Date
2022-10-12
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The aim of this work is to obtain some monotonicity properties for the functionsinvolving the logarithms of the 𝑘-gamma function for 𝑘>0.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The aim of this work is to obtain some monotonicity properties for the functionsinvolving the logarithms of the 𝑘-gamma function for 𝑘>0.
📊
Key Findings & Data:The aim of this work is to obtain some monotonicity properties for the functionsinvolving the logarithms of the 𝑘-gamma function for 𝑘>0.
💡
Conclusion & Impact:The aim of this work is to obtain some monotonicity properties for the functionsinvolving the logarithms of the 𝑘-gamma function for 𝑘>0.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The aim of this work is to obtain some monotonicity properties for the functionsinvolving the logarithms of the 𝑘-gamma function for 𝑘>0.

Özet

Bu çalışmanın amacı, 𝑘>0. olmak üzere 𝑘-gama fonksiyonunun logaritmasını içeren bazı fonksiyonların monotonluk özelliklerini elde etmektir.

🔖

Cite This Article

YILDIRIM, E., EGE, İ. (2022). Some Monotonicity Properties on 𝒌-Gamma Function. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 9 - Sayı: 1, 66–76. https://ajindex.com/articles/428482

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (10)

  1. Abramowitz, M. and Stegun, I. A., Handbook of Mathematical Functions, with Formulas, Graphs, and Mathematical Tables, Dover, New York, 1965.
  2. Alzer, H., Some Gamma Function Inequalities, Math. Comp., 60, 337-346, 1993.
  3. Alzer, H., Inequalities for the Gamma and Psi Functions, Abh. Math. Sem. Hamburg, 68, 363-372, 1998.
  4. Anderson, G. and Qiu, S. L., A Monotoneity Property of the Gamma Function, Proc. Amer. Math. Soc., 125(11), 3355-3362, 1997.
  5. Diaz, R. and Pariguan, E., On Hypergeometric Functions and Pochhammer 𝑘- symbol, Divulg. Mat., 15(2), 179-192, 2007. Elbert, Á. and Laforgia, A., On Some Properties of the Gamma Function, Proc. Amer. Math. Soc., 128(9), 2667-2673, 2000.
  6. Gautschi, W., Some Elementary Inequalities Relating to the Gamma and Incomplete Gamma Function, J. Math. Phys., 38(1), 77-81, 1959.
  7. Gradshteyn, I. S. and Ryzhik, I. M., Table of Integrals, Series, and Products, Academic Press, 2014.
  8. Krasniqi, V., Inequalities and Monotonicity for the Ration of 𝑘-gamma Function, Scientia Magna, 6(1), 40-45, 2010.
  9. Neumann, E., Some Inequalities for the Gamma Function, Appl. Math. Comput., 218(8), 4349-4352, 2011.
  10. Sandor, J., Sur la Fonction Gamma, Publ. Centre Rech. Math. Pures (Neuchâtel), 21, 4-7, 1989.