On combinatorial properties and the zero distribution of certain Sheffer sequences
نویسندگان
چکیده
We present combinatorial and analytical results concerning a Sheffer sequence with generating function of the form G(x,z)=Q(z)xQ(−z)1−x, where Q is quadratic polynomial real zeros. By using properties Riordan matrices we address interpretations our polynomials their coefficients. also show that apart from two exceptional zeros, zeros large enough degree in such lie on line x=1/2+it.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2022
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2022.126273