- Diagonalization of Certain Integral Operators
1994/11/01 by Mourad E. H. Ismail, M.E.H. Ismail, R. Zhang · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Bessel function #Bessel polynomials #Classical orthogonal polynomials #Differential operator #Eigenfunction #Eigenvalues and eigenvectors #Exponential function #Gegenbauer polynomials #Hypergeometric function #Jacobi polynomials #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Operator (biology) #Orthogonal polynomials #Polynomial #Pure mathematics #Quantum Mechanics and Non-Hermitian Physics #Struve function #Trigonometric functions #Wilson polynomials
- The Basic Bessel Functions and Polynomials
1981/05/01 by Mourad E. H. Ismail · 1 citation
Mathematics · Physics and Astronomy · #Mathematical functions and polynomials #Advanced Mathematical Identities #Quantum Mechanics and Non-Hermitian Physics #Mathematics #Bessel function #Bessel polynomials #Orthogonal polynomials #Jacobi polynomials #Classical orthogonal polynomials #Generalization #Recurrence relation #Discrete orthogonal polynomials #Bessel process #Struve function #Pure mathematics #Wilson polynomials #Gegenbauer polynomials #Unit circle #Mathematical analysis
- The determination of incomplete gamma functions through analytic integration
1979/04/01 by Riho Terras · 2 citations
Decision Sciences · Mathematics · #Algebra over a field #Analytic continuation #Analytic function #Applied mathematics #Bessel function #Bessel polynomials #Computer science #Continuation #Fourier series #Gamma function #Generalized hypergeometric function #Hypergeometric function #Jacobi polynomials #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Orthogonal polynomials #Pure mathematics #Scientific Measurement and Uncertainty Evaluation #Series (stratigraphy) #Special functions #Struve function
- The 𝐺-functions as unsymmetrical Fourier kernels. I
1962/12/01 by Roop Narain · 1 citation
Mathematics · Physics and Astronomy · #Mathematical functions and polynomials #Differential Equations and Boundary Problems #Quantum Mechanics and Non-Hermitian Physics #Bessel function #Mathematics #Struve function #Function (biology) #Hypergeometric function #Fourier transform #Simple (philosophy) #Generalized hypergeometric function #Combinatorics #Fourier series #Pure mathematics #Kernel (algebra) #Mathematical analysis #Orthogonal polynomials