- On the functional equation for classical orthogonal polynomials on lattices
2021/01/29 by K. Castillo, Castillo, K., D. Mbouna +3 · 1 citation
Decision Sciences · Mathematics · #33C45 #42C05 #Algebra over a field #Classical Analysis and ODEs (math.CA) #Classical orthogonal polynomials #Differential equation #FOS: Mathematics #Functional Equations Stability Results #Functional equation #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Orthogonal polynomials #Pure mathematics #Scientific Measurement and Uncertainty Evaluation
- Contributions to the theory of the Hurwitz zeta-function
2007/01/01 by Shigeru Kanemitsu, Yoshio Tanigawa, Haruo Tsukada +1 · 1 citation
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Mathematical functions and polynomials #Ramanujan's sum #Mathematics #Riemann zeta function #Pure mathematics #Functional equation #Mathematical proof #Function (biology) #Euler's formula #Series (stratigraphy) #Gamma function #Number theory #Arithmetic zeta function #Combinatorics #Mathematical analysis #Differential equation
- A generalization of Bochner's formula
2004/01/01 by Shigeru Kanemitsu, Yoshio Tanigawa, Haruo Tsukada · 1 citation
Mathematics · #Analytic Number Theory Research #Functional Equations Stability Results #Meromorphic and Entire Functions #Generalization #Hierarchy #Mathematics #Pure mathematics #Type (biology) #Function (biology) #Dirichlet series #Dirichlet distribution #Functional equation #Mathematical analysis #Differential equation #Boundary value problem
- Derivatives of the Hurwitz Zeta function for rational arguments
1998/12/01 by Jeff Miller, Jeff F. Miller, Victor Adamchik +1 · 1 citation
Mathematics · #Advanced Mathematical Identities #Applied mathematics #Arithmetic zeta function #Differential equation #Function (biology) #Functional Equations Stability Results #Functional equation #Logarithm #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Prime zeta function #Pure mathematics #Rational function #Riemann Xi function #Riemann hypothesis #Riemann zeta function #Transcendental equation #Transcendental function #Transcendental number #Zeta function regularization
- On the Selberg class of Dirichlet series: small degrees
1993/12/01 by J. Brian Conrey, Amit Ghosh · 3 citations
Mathematics · #Analytic Number Theory Research #Advanced Algebra and Geometry #Meromorphic and Entire Functions #Dirichlet series #Mathematics #Converse theorem #General Dirichlet series #Dirichlet eta function #Riemann zeta function #Analytic number theory #Dirichlet L-function #Class number formula #Pure mathematics #Series (stratigraphy) #Riemann hypothesis #Dirichlet kernel #Converse #Arithmetic zeta function #Functional equation #Selberg trace formula #Mathematical analysis #Mellin transform #Product (mathematics) #Dirichlet distribution #Automorphic form #Differential equation #Fourier transform
- The Functional Equation g(x 2 ) = 2 αx + [g(x)] 2
1922/12/01 by J. H. M. Wedderburn · 1 citation
Mathematics · #Differential equation #Functional Equations Stability Results #Functional equation #Mathematical analysis #Mathematical physics #Mathematics #Pure mathematics