Masaya Kitajima

collaborators

4 papers

math.NT2026

Analytic Study of $p$ -Bessel Functions: Fractional Calculus, Integral Representations, and Complex Extensions

Masaya Kitajima

We present a systematic analytic study of the $p$ -Bessel functions $J_{I ¨ , I ¨ }^{[p]}$ , a novel class of generalized Bessel functions arising from Fourier analysis on plana…

math.NT2025

Generalized Hardy's identity for the astroid-type p-circle lattice point problem

Masaya Kitajima

Let $r$ be a positive real number and $p$ satisfy $(2/ p) \in N$ . Then, we consider the lattice point problem of the closed curves astroid-type $p$ -circle $\{x\in\mathbb{R}^{…

math.NT2025

Asymptotic evaluations of generalized Bessel function of order zero related to the p-circle lattice point problem

Masaya Kitajima

Let $p$ and $r$ be positive real numbers. Then, we consider the lattice point problem of the closed curve $p$ -circle ${x \in R^{2} ∣ ∣ x_{1} ∣^{p} + ∣ x_{2} ∣^{p} = r^{p}}$ which…

math.NT2025

Series expansions by generalized Bessel functions for functions related to the lattice point problems for the p-circle

Masaya Kitajima

The lattice point problems of the $p$ -circle (for example, the astroid), which a generalized circle for positive real numbers $p$ , have been solved for approximately $p$ more than…

Analytic Study of p-Bessel Functions: Fractional Calculus, Integral Representations, and Complex Extensions

Generalized Hardy's identity for the astroid-type p-circle lattice point problem

Asymptotic evaluations of generalized Bessel function of order zero related to the p-circle lattice point problem

Series expansions by generalized Bessel functions for functions related to the lattice point problems for the p-circle

Analytic Study of $p$ -Bessel Functions: Fractional Calculus, Integral Representations, and Complex Extensions