41 citations · 44 across the 8 of their papers we have counts for
8 papers
Complementary Polynomials From Rodrigues' Representations For Confluent And Hypergeometric Functions And More
H. J. Weber
Complementary polynomials of Legendre polynomials are briefly presented, as well as those for the confluent and hypergeometric functions, relativistic Hermite polynomials and corre…
Twin Primes and the Zeros of the Riemann Zeta Function
H. J. Weber
The Legendre type relation for the counting function of ordinary twin primes is reworked in terms of the inverse of the Riemann zeta function. Its analysis sheds light on the distr…
Sieves for Twin Primes in Class I
H. J. Weber
Sieves are constructed for twin primes in class I, which are of the form 2m+/-D, D>=3 odd. They are characterized by their twin-D-I rank m. They have no parity problem. Non-rank nu…
A Sieve for Cousin Primes
H. J. Weber
A sieve is constructed for twin primes at distance 4, which are of the form 3(2m+1)+/-2, and are characterized by their twin-4 rank 2m+1. It has no parity problem. Non-ranks are id…
Twin Prime Sieve
H. J. Weber
A sieve is constructed for ordinary twin primes of the form 6m+/-1 that are characterized by their twin rank m. It has no parity problem. Non-rank numbers are identified and counte…
Romanovski polynomials in selected physics problems
A. P. Raposo, H. J. Weber, D. Alvarez-Castillo +1
We briefly review the five possible real polynomial solutions of hypergeometric differential equations. Three of them are the well known classical orthogonal polynomials, but the o…