TY  - JOUR
T1  - Some Properties of the Generalization of the p-Adic Factorial and the p-Adic Gamma Function
TT  - p-Adik Faktöriyel ve p-Adik Gama Fonksiyonunun Genelleştirilmesinin Bazı Özellikleri
AU  - Belhadef, Rafik
AU  - Sahali, Nour Elhouda
PY  - 2025
DA  - July
Y2  - 2025
DO  - 10.37094/adyujsci.1543333
JF  - Adıyaman University Journal of Science
JO  - ADYU J SCI
PB  - Adıyaman Üniversitesi
WT  - DergiPark
SN  - 2147-1630
SP  - 128
EP  - 145
VL  - 15
IS  - 1
LA  - en
AB  - In this paper, we introduce the concept of q-adic factorial, establishing several significant congruences and inequalities associated with this new function. For a good illustration, we provide some numerical examples. Furthermore, we prove several properties of the generalized p-adic gamma function Γ_q, along with identities and special values related to Γ_q. We also derive a representation of Γ_q via its Mahler expansion and establish relationships among the coefficients within this expansion.
KW  - Mahler expansions
KW  - p-adic gamma function
KW  - p-adic factorial
KW  - p-adic number
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UR  - https://doi.org/10.37094/adyujsci.1543333
L1  - https://dergipark.org.tr/tr/download/article-file/4189606
ER  -