Generalized prolate spheroidal wave functions

  • R. K. Gupta


The following equation
$$(1 - x^2 )d^2 y/dx^2 + [(\beta - \alpha - (\alpha + \beta + 2)x]dy/dx + (\chi (c) - c^2 x^2 )y = 0$$
has been solved wherex(c) a separation constant is the characteristic value and is a function ofc. This solution is a generalization of spheroidal wave function into the series form ofP n α;β (x),α andβ both separately are greater than −1. The finite transform and its properties have been defined and a boundary value problem has been solved applying these tools.


Prolate Inversion Formula Separation Constant Finite Linear Combination Spheroidal Wave Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Indian Academy of Sciences 1977

Authors and Affiliations

  • R. K. Gupta
    • 1
  1. 1.Department of MathematicsM.R. Engineering CollegeJaipur

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