Unified (p, q)-analog of Apostol Type Polynomials of Order alpha

作者：Duran Ugur^*; Acikgoz Mehmet; Araci Serkan

来源：Filomat, 2018, 32(2): 387-394.

DOI：10.2298/FIL1802387D

• (p, q)-calculus
• Apostol-Bernoulli polynomials
• Apostol-Euler polynomials
• Apostol-Genocchi polynomials
• Stirling numbers of second kind
• Generating function
• Cauchy product

In this work, we introduce a class of a new generating function for (p, q)-analog of Apostol type polynomials of order a including Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order alpha. By making use of their generating function, we derive some useful identities. We also introduce (p, q)-analog of Stirling numbers of second kind of order v by which we construct a relation including aforementioned polynomials.

• 出版日期2018