A note on the \(p\)-adic gamma function and \(q\)-Changhee polynomials


Authors

Özge Çolakoğlu Havare - Mathematics Department, Science and Arts Faculty, Mersin University, 33343, Mersin-Turkey Hamza Menken - Mathematics Department, Science and Arts Faculty, Mersin University, 33343, Mersin-Turkey


Abstract

In the present work, we consider the fermionic \(p\)-adic \(q\)-integral of \(p\)% -adic gamma function and the derivative of \(p\)-adic gamma function by using their Mahler expansions. The relationship between the \(p\)-adic gamma function and \(% q \)-Changhee numbers is obtained. A new representation is given for the \(p\)-adic Euler constant. Also, we study on the relationship between \(q\)-Changhee polynomials and \(p\)-adic Euler constant using the fermionic \(p\)-adic \(q\)-integral techniques the idea that the \(q\)-Changhee polynomial.


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ISRP Style

Özge Çolakoğlu Havare, Hamza Menken, A note on the \(p\)-adic gamma function and \(q\)-Changhee polynomials, Journal of Mathematics and Computer Science, 18 (2018), no. 1, 11--17

AMA Style

Havare Özge Çolakoğlu, Menken Hamza, A note on the \(p\)-adic gamma function and \(q\)-Changhee polynomials. J Math Comput SCI-JM. (2018); 18(1):11--17

Chicago/Turabian Style

Havare, Özge Çolakoğlu, Menken, Hamza. "A note on the \(p\)-adic gamma function and \(q\)-Changhee polynomials." Journal of Mathematics and Computer Science, 18, no. 1 (2018): 11--17


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