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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…
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…
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…
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…