Construction of general forms of ordinary generating functions for more families of numbers and multiple variables polynomials

The aim of this paper is to construct general forms ordinary generating functions for special numbers and polynomials involving Fibonacci type polynomials, Lucas Chebyshev Sextet Humbert-type chain anti-chain rank the lattices, length any alphabet words, partitions, other graph polynomials. By applying Euler transform Lambert series these functions, many new identities relations are derived. using differential equations some recurrence found. Moreover, Binet's formulas given. Finally, classes their corresponding certain family investigated with help functions.