Kucukoglu, Irem2026-01-242026-01-2420251452-8630https://doi.org/10.2298/AADM240227005Khttps://hdl.handle.net/20.500.12868/5302This paper aims to provide new results and computational implementations for describing and analyzing the q-combinatorial Simsek numbers and polynomials of the first kind. For symbolic computation of these numbers and polynomials, some procedures and illustrations have been provided in the Wolfram programming language. In addition, some computation formulas, derivative formulas, generating functions, interpolation functions, and integral formulas pertaining to these numbers and polynomials have been derived.eninfo:eu-repo/semantics/openAccessCombinatorial numbersq-analoguesGenerating functionsComputation formulasDerivative formulasMellin transformInterpolation functionsp-adic q-integralsCom-putational implementationsArticle10.2298/AADM240227005K1911852132-s2.0-105007538085Q2WOS:001476838200011Q1