Higher p-adic gamma functions and Dwork cohomology
Cohomologie p-adique, Astérisque, no. 119-120 (1984), pp. 111-127 
@incollection{AST_1984__119-120__111_0,
     author = {Baldassarri, Francesco},
     title = {Higher $p$-adic gamma functions and {Dwork} cohomology},
     booktitle = {Cohomologie $p$-adique},
     series = {Ast\'erisque},
     pages = {111--127},
     year = {1984},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {119-120},
     mrnumber = {773089},
     zbl = {0551.12012},
     language = {en},
     url = {https://www.numdam.org/item/AST_1984__119-120__111_0/}
}
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Baldassarri, Francesco. Higher $p$-adic gamma functions and Dwork cohomology, dans Cohomologie $p$-adique, Astérisque, no. 119-120 (1984), pp. 111-127. https://www.numdam.org/item/AST_1984__119-120__111_0/

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[2] B. Dwork : "Lectures on p-adic differential équations", Springer-Verlag (1982). | MR | Zbl | DOI

[3] B. Dwork : "On the Boyarski principle". Amer. J. of Math. 105 (1983), 115-156. | MR | Zbl | DOI

[4] B. Dwork : "On the zeta function of a hypersurface", I.H.E.S., n° 12 (1962), 5-68. | MR | Zbl | EuDML | Numdam

[5] B. Gross and N. Koblitz : "Gauss sums and the p-adic gamma function", Ann. of Math. 109 (1979), 569-581. | MR | Zbl | DOI

[6] Y. Morita : "A p-adic analogue of the Γ-function", J. Fac. Sci. Univ. Tokyo Sect. I A Math. 22 (1975), 255-266. | MR | Zbl