Partial differential equations for a new family of numbers and polynomials unifying the Apostol-type numbers and the Apostol-type polynomials
Keywords: تعداد لوکاس; primary; 05A10; 05A15; 11B37; 11B39; 11B68; 11B83; 11M35; 26C05; 26C10; secondary; 33C05; 34A99; 35A99; Generating functions; Functional equations; Partial differential equations; Hypergeometric functions; Hurwitz-Lerch zeta functions; Apostol-Bernoul