MONOTONICITY RESULTS AND ASSOCIATED INEQUALITIES FOR  K-GAMMA FUNCTION

İnci EGE; Emrah YILDIRIM

doi:https://doi.org/10.18038/aubtda.438249

Makale detayları

MONOTONICITY RESULTS AND ASSOCIATED INEQUALITIES FOR K-GAMMA FUNCTION

Yazarlar:

İnci EGE | Emrah YILDIRIM

Yayıncı:

Eskisehir Technical University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 2019 Vol.20 Issue 1, pp.104-111

Belge Tipi:

Makale

Yayın Tarihi:

12/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000417013

pISSN:

2667-4211

DOI:

https://doi.org/10.18038/aubtda.438249

Özet:

 


In this work, we find-analogue of Gautschi inequality and obtain some monotonicity results for-gamma function. By the aid of these, we also get some more inequalities.

This study is inspired bythe work of Neumann in 2011. In the study, weestablish some double inequalities involving the ratio(+)(+), where is the -analogue of Euler’s gamma function. Some monotonicity results involvingk-gamma functionare found. By the aid of these results, some inequalitiessuchas[Γ(+)]≤∑[Γ(+)]=1for >0, 1≤≤, where =1+2+⋯+are valid.

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Makale detayları

MONOTONICITY RESULTS AND ASSOCIATED INEQUALITIES FOR K-GAMMA FUNCTION

Yazarlar: İnci EGE | Emrah YILDIRIM

Yayıncı: Eskisehir Technical University

Ana Başlıklar: Uygulamalı fizik

Dergi: Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 2019 Vol.20 Issue 1, pp.104-111

Belge Tipi: Makale

Yayın Tarihi: 12/2018

Belge Dili: İngilizce

Document ID (Org No.): 2000417013

pISSN: 2667-4211

DOI: https://doi.org/10.18038/aubtda.438249

Sayı

Yazarlar:

İnci EGE | Emrah YILDIRIM

Yayıncı:

Eskisehir Technical University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 2019 Vol.20 Issue 1, pp.104-111

Belge Tipi:

Makale

Yayın Tarihi:

12/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000417013

pISSN:

2667-4211

DOI:

https://doi.org/10.18038/aubtda.438249