Fourier series of a generalised function of two variables

  • C. L. Kaul


In this paper we evaluate certain integrals involving a generalised function of two variables and employ these to establish Fourier series expansions for this function. Results obtained recently by Mac Robert (1959) and (1961), Kesarwani (1966), Bajpai (1969), Parashar (1967) and Shah (1971) can be deduced from our results on specialising the parameters.


Generalise Function Fourier Series Empty Product Reference Proc Sine Series 
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  1. Agarwal, R. P...Proc. Nat. Inst. Sci., India, 1965,31, 536.MATHGoogle Scholar
  2. Bajpai, S. D...Proc. Camb. Phil. Soc., 1969,65, 703.MATHCrossRefMathSciNetGoogle Scholar
  3. Gupta, K. C. and Mital, P. K. ..J. Pure and Applied Maths, (Communicated), 1971.Google Scholar
  4. Kaul, C. L...The Math. Education, India, 1970,4, 40.MathSciNetGoogle Scholar
  5. Kesarwani, R. N...Compositio Math., 1966,17, 149.MATHMathSciNetGoogle Scholar
  6. MacRobert, T. M...Math. Z., 1959,71, 143.MATHCrossRefMathSciNetGoogle Scholar
  7. —..Ibid., 1961,75, 79.MATHCrossRefMathSciNetGoogle Scholar
  8. Parashar, B. P...Proc. Camb. Phil Soc., 1967,63, 1083.MATHCrossRefMathSciNetGoogle Scholar
  9. Shah, M. L...Indian J. Pure and Appld. Maths., 1971,2, 464.MATHGoogle Scholar
  10. Snnedon, I. N...Special Functions of Mathematical Physics and Chemistry, Interscience Publishers Inc., New York, 1956, p. 41.Google Scholar

Copyright information

© Indian Academy of Sciences 1972

Authors and Affiliations

  • C. L. Kaul
    • 1
  1. 1.Department of MathematicsM.R. Engineering CollegeJaipur

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