Certain Diophantine conjectures are proven, and to do so certain remarkable classes of orthogonal polynomials are identified, yielding additional Diophantine findings
Titre français: Preuve de la conjecture de quasi-orthogonalite ́ de Saffari pour les suites ultra-p...
In this paper, I investigate polynomial solutions to the Diophantine equa tion, X² +Y³ = 6...
The Strong Factorial conjecture was recently formulated by Arno van den Essen and Eric Edo. The prob...
In this paper (as in previous ones) we identify and investigate polynomials p(n)((nu)) (x) featuring...
An open problem about two new families of orthogonal polynomials was posed by Alhaidari. Here we wil...
The theorem that every recursively enumerable set is expon ntial Diophantine is improve ; a sharp fo...
t square then there exists an infinite number of Diophantine quadruples with the property D(n). Prec...
Given a sequence of monic orthogonal polynomials (MOPS), #left brace#P_n#right brace#, with respect ...
Exceptional orthogonal polynomial systems (X-OPSs) arise as eigenfunctions of Sturm-Liouville proble...
AbstractThis paper introduces the notions of Diophantine generation and Diophantine equivalence and ...
A very old class of problems in mathematics is the solving of Diophantine equations. Essentially a D...
. We explain the notion of multiple orthogonal polynomials (polyorthogonal polynomials), which is cl...
Calogero and his collaborators recently observed that some hypergeometric polynomials can be factore...
Calogero and his collaborators recently observed that some hypergeometric polynomials can be factore...
In recent years, one of the most interesting developments in quantum mechanics has been the construc...
Titre français: Preuve de la conjecture de quasi-orthogonalite ́ de Saffari pour les suites ultra-p...
In this paper, I investigate polynomial solutions to the Diophantine equa tion, X² +Y³ = 6...
The Strong Factorial conjecture was recently formulated by Arno van den Essen and Eric Edo. The prob...
In this paper (as in previous ones) we identify and investigate polynomials p(n)((nu)) (x) featuring...
An open problem about two new families of orthogonal polynomials was posed by Alhaidari. Here we wil...
The theorem that every recursively enumerable set is expon ntial Diophantine is improve ; a sharp fo...
t square then there exists an infinite number of Diophantine quadruples with the property D(n). Prec...
Given a sequence of monic orthogonal polynomials (MOPS), #left brace#P_n#right brace#, with respect ...
Exceptional orthogonal polynomial systems (X-OPSs) arise as eigenfunctions of Sturm-Liouville proble...
AbstractThis paper introduces the notions of Diophantine generation and Diophantine equivalence and ...
A very old class of problems in mathematics is the solving of Diophantine equations. Essentially a D...
. We explain the notion of multiple orthogonal polynomials (polyorthogonal polynomials), which is cl...
Calogero and his collaborators recently observed that some hypergeometric polynomials can be factore...
Calogero and his collaborators recently observed that some hypergeometric polynomials can be factore...
In recent years, one of the most interesting developments in quantum mechanics has been the construc...
Titre français: Preuve de la conjecture de quasi-orthogonalite ́ de Saffari pour les suites ultra-p...
In this paper, I investigate polynomial solutions to the Diophantine equa tion, X² +Y³ = 6...
The Strong Factorial conjecture was recently formulated by Arno van den Essen and Eric Edo. The prob...
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