2 papers
math.NT2025
On the Zeros of -Hankel Transform by Using Pólya-Hurwitz Partial Fraction Method
Mahmoud Annaby, Shimaa Elsayed-Abdullah
The technique of Pólya-Hurwitz of partial fractions is implemented to investigate the zeros of finite -Hankel transforms, which are defined in terms of the third -Bessel func…
math.CV2024
On Kakeya's Geometric Proof of Eneström-Kakeya's Theorem
Mahmoud Annaby, Shimaa Elsayed-Abdullah
This paper is devoted to demonstrate Kakeya's geometric proof of his theorem (1912), independently established earlier by Eneström (1893). By calculating centers and radii of the i…