Unification of Two-Variable Family of Apostol-Type Polynomials with Applications

Unification of Two-Variable Family of Apostol-Type Polynomials with Applications

Blog Article

In this paper, the two-variable unified family of generalized Apostol-type polynomials is introduced, and some implicit MEDI C PLUS W/CA BERRY forms and general symmetry identities are derived.Also, we obtain new degenerate Apostol-type numbers and polynomials constructed from the new 2-variable unified family.We derive explicit formulae of All-Over Face Pencil polynomials and identities that include some special numbers and polynomials.In addition, a probabilistic representation of the new family and some statistical properties are obtained.