A new class of $q$-Hermite-based Apostol type Frobenius Genocchi polynomials
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In this article, a hybrid class of the $q$-Hermite based Apostol type Frobenius-Genocchi polynomials is introduced by means of generating function and series representation. Several important formulas and recurrence relations for these polynomials are derived via different generating function methods. Furthermore, we consider some relationships for $q$-Hermite based Apostol type Frobenius-Genocchi polynomials of order $\alpha$ associated with $q$-Apostol Bernoulli polynomials, $q$-Apostol Euler polynomials and $q$-Apostol Genocchi polynomials
Abstract
In this article, a hybrid class of the $q$-Hermite based Apostol type Frobenius-Genocchi polynomials is introduced by means of generating function and series representation. Several important formulas and recurrence relations for these polynomials are derived via different generating function methods. Furthermore, we consider some relationships for $q$-Hermite based Apostol type Frobenius-Genocchi polynomials of order $\alpha$ associated with $q$-Apostol Bernoulli polynomials, $q$-Apostol Euler polynomials and $q$-Apostol Genocchi polynomials
참고문헌 (16)
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