الفهرس 
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Abstract
In this thesis, we introduce three q-analogs of of Frappier’s generalized Bernoulli polynomials. We investigate their main properties, their large n-degree asymptotics, and their determinant representations. Applications include expansion theorems and some connection relations with special functions are included.
Keywords: q-Bessel functions, q-Bernoulli polynomials and numbers, asymptotic expansions, Cauchy residue theorem, determinants, entire function.