# Formulas for p-adic q-integrals including falling-rising factorials, combinatorial sums and special numbers

@article{Simsek2017FormulasFP, title={Formulas for p-adic q-integrals including falling-rising factorials, combinatorial sums and special numbers}, author={Yilmaz Simsek}, journal={arXiv: Number Theory}, year={2017} }

The main purpose of this paper is to provide a novel approach to deriving formulas for the p-adic q-integral including the Volkenborn integral and the p-adic fermionic integral. By applying integral equations and these integral formulas to the falling factorials, the rising factorials and binomial coefficients, we derive some new and old identities and relations related to various combinatorial sums, well-known special numbers such as the Bernoulli and Euler numbers, the harmonic numbers, the… CONTINUE READING

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