On some properties of a Fox function
Čelâbinskij fiziko-matematičeskij žurnal, Tome 8 (2023) no. 2, pp. 203-211

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A partial case of a special Fox function is considered. Integral representation, power series representation, and asymptotic formulas are written out. The formulas of differentiation of the integer order, recurrent and integral relations are proved.
Keywords: Fox function, integral representation, asymptotics, recurrent relation, differentiation formula.
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     author = {F. G. Khushtova},
     title = {On some properties of a {Fox} function},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
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     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2023_8_2_a3/}
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F. G. Khushtova. On some properties of a Fox function. Čelâbinskij fiziko-matematičeskij žurnal, Tome 8 (2023) no. 2, pp. 203-211. http://geodesic.mathdoc.fr/item/CHFMJ_2023_8_2_a3/