TY  - JOUR
T1  - On the extended Wright hypergeometric matrix function and its properties
AU  - Gezer, Halil
AU  - Kaanoglu, Cem
PY  - 2023
DA  - September
Y2  - 2023
DO  - 10.31801/cfsuasmas.1147745
JF  - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
JO  - Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.
PB  - Ankara University
WT  - DergiPark
SN  - 1303-5991
SP  - 606
EP  - 617
VL  - 72
IS  - 3
LA  - en
AB  - Recently, Bakhet et al. [9] presented the Wright hypergeometric matrix function $_{2}R_{1}^{(\tau )}(A,B;C;z)$ and derived several properties. Abdalla [6] has since applied fractional operators to this function. In this paper, with the help of the generalized Pochhammer matrix symbol $(A;B)_{n}$ and the generalized beta matrix function $\mathcal{B}(P,Q;\mathbb{X})$, we introduce and study an extended form of the Wright hypergeometric matrix function, $_{2}R_{1}^{(\tau )}((A,\mathbb{A}),B;C;z;\mathbb{X}).$ We establish several potentially useful results for this extended form, such as integral representations and fractional derivatives. We also derive some properties of the corresponding incomplete extended Wright hypergeometric matrix function.
KW  - Wright hypergeometric matrix function
KW  - generalized hypergeometric functions
KW  - Riemann-Liouville fractional derivative
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UR  - https://doi.org/10.31801/cfsuasmas.1147745
L1  - https://dergipark.org.tr/en/download/article-file/2553701
ER  -