A note on the \(p\)-adic gamma function and \(q\)-Changhee polynomials
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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.
Share and Cite
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
Keywords
- \(p\)-Adic number
- \(p\)-adic gamma function
- the fermionic \(p\)-adic \(q\)-integral
- Mahler coefficients
- \(p\)-adic Euler constant
- \(q\)-Changhee Polynomials
MSC
- 11S80
- 05A30
- 33E50
- 05A19
- 26C05
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