TABLES OF LEBEDEV, MEHLER, AND GENERALIZED MEHLER TRANSFORMS

Abstract

INVERSION FORMULAS WITH KERNELS CONTAINING Bessel functions of purely imaginary order and Legendre functions of complex index with the real part-1/2 (conical functions) as variable are presented as methods in solving certain boundary value problems of the wave or heat conduction equation involving wedge or conically shaped boundaries. Tables are appended for the various transforms.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1961
Accession Number
AD0267210

Entities

People

  • Fritz Oberhettinger
  • T. P. Higgins

Organizations

  • Boeing

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Bessel Functions
  • Boundaries
  • Boundary Value Problems
  • Diffraction
  • Equations
  • Government Procurement
  • Hypergeometric Functions
  • Integral Transforms
  • Integrals
  • Kernel Functions
  • Legendre Functions
  • Mathematics
  • New York
  • Polynomials
  • Spherical Waves
  • Transcendental Functions
  • Waves

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering