A New Class of Higher-Order Hypergeometric Bernoulli Polynomials Associated with Lagrange-Hermite Polynomials

Additionally, if there any di¤erential equation exists such that it can be reduced to the Hypergeometric di¤erential equation, then solutions of these type equations can be given

Moreover, we obtain differential, integro-differential, partial differ- ential equations and shift operators for the extended D Bernoulli polynomials by us- ing the

Keywords: Exponential operators, Weyl, Sack, Hausdorff and Crofton identities, Mono-.. miality principle,Hermite-Kampe de Feriet polynomials, Laguerre polynomials

Ozden, H, Simsek, Y, Srivastava, HM: A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials.. Luo, Q-M: On the

Motivated by the generalizations in () of the classical Bernoulli and Euler polynomials, we introduce and investigate here the so-called generalized two-dimensional q-Bernoulli

Moreover, improved q-exponential function creates a new class of q-Bernoulli numbers and like the ordinary case, all the odd coefficient becomes zero and leads

Moreover, diverse higher order q-Volkenborn integrals of the derivative of p-adic gamma function associated with the Stirling numbers of the both kinds and the q-Bernoulli

Al-Salam [1] introduced the first q- extension of Bernoulli numbers and polynomials and gave many of their properties.. The q-extensions of Bernoulli numbers and polynomials have