J. Straton

activity

20202026

most citedThe Fourier-Legendre series of Bessel functions of the first kind and the summed series involving

_{2} F_{3}

hypergeometric functions that arise from them

3 citations · 8 across the 10 of their papers we have counts for

collaborators

Showing 2024Show all

4 papers · 1 filter

math.GM2024

$_{3} F_{4}$ hypergeometric functions as a sum of a product of $_{2} F_{3}$ functions

Jack C. Straton

This paper shows that certain $_{3} F_{4}$ hypergeometric functions can be expanded in sums of pair products of $_{1} F_{2}$ functions. In special cases, the $_{3} F_{4}$ hyperg…

math.GM2024★ 1 cited

Summed series involving \,_{1}F_{2} hypergeometric functions

Jack C. Straton

In a prior paper we found that the Fourier-Legendre series of a Bessel function of the first kind J_{N}\left(kx\right) and of a modified Bessel functions of the first kind I_{N}\le…

math.GM2024

$_{3} F_{4}$ hypergeometric functions as a sum of a product of $_{2} F_{3}$ functions

Jack C. Straton

This paper shows that certain $_{3} F_{4}$ hypergeometric functions may be expanded in sums of pair products of $_{2} F_{3}$ functions. This expands the class of hypergeometric f…

math.GM2024★ 3 cited

The Fourier-Legendre series of Bessel functions of the first kind and the summed series involving $_{2} F_{3}$ hypergeometric functions that arise from them

Jack C. Straton

The Bessel function of the first kind $J_{N} (k x)$ is expanded in a Fourier-Legendre series, as is the modified Bessel functions of the first kind $I_{N} (k x)$ .…

3​F4​ hypergeometric functions as a sum of a product of 2​F3​ functions

Summed series involving \,_{1}F_{2} hypergeometric functions

3​F4​ hypergeometric functions as a sum of a product of 2​F3​ functions

The Fourier-Legendre series of Bessel functions of the first kind and the summed series involving 2​F3​ hypergeometric functions that arise from them

$_{3} F_{4}$ hypergeometric functions as a sum of a product of $_{2} F_{3}$ functions

$_{3} F_{4}$ hypergeometric functions as a sum of a product of $_{2} F_{3}$ functions

The Fourier-Legendre series of Bessel functions of the first kind and the summed series involving $_{2} F_{3}$ hypergeometric functions that arise from them