3 papers
math.GM2026
Indefinite integrals of Bessel and Struve functions with half-integer indices, and incomplete gamma functions with integer indices, all times and divided by powers
Jack C. Straton
Indefinite integrals are found for 63 half-integer Bessel and Struve functions, and incomplete gamma functions with integer indices, each multiplied by and divided b…
math.GM2026
An infinite set of one-range addition theorems without an infinite second series, for Slater orbitals and it derivatives, applicable more than one coordinate system
Jack C. Straton
Addition theorems have been indispensable tools for the reduction of quantum transition amplitudes. They are normally utilized at the start of the process to move the angular depen…
math.GM2024
hypergeometric functions as a sum of a product of functions
Jack C. Straton
This paper shows that certain hypergeometric functions can be expanded in sums of pair products of functions. In special cases, the hyperg…