Generalized qqq-Bernoulli polynomials generated by Jackson qqq-Bessel functions (original) (raw)
2022, arXiv (Cornell University)
Related papers
2022
n this paper, we present qqq-Bernoulli and qqq-Euler polynomials generated by the third Jackson qqq-Bessel function to construct new types of qqq-Lidstone expansion theorem. We prove that the entire function may be expanded in terms of qqq-Lidstone polynomials which are qqq-Bernoulli polynomials and the coefficients are the even powers of the qqq-derivative fracδqf(z)δqz\frac{δ_q f(z)}{δ_q z}fracδqf(z)δqz at 000 and 111. The other forms expand the function in qqq-Lidstone polynomials based on qqq-Euler polynomials and the coefficients contain the even and odd powers of the qqq-derivative fracδqf(z)δqz\frac{δ_q f(z)}{δ_q z}fracδqf(z)δqz.
Loading Preview
Sorry, preview is currently unavailable. You can download the paper by clicking the button above.