Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
권호 표지
DOI QR코드

DOI QR Code

GENERALIZATION OF A TRANSFORMATION FORMULA FOUND BY BAILLON AND BRUCK

  • Rathie, Arjun K. (DEPARTMENT OF MATHEMATICS VEDANT COLLEGE OF ENGINEERING AND TECHNOLOGY) ;
  • Kim, Yong-Sup (DEPARTMENT OF MATHEMATICS EDUCATION WONKWANG UNIVERSITY)
  • Published : 2008.10.31
Download PDF
⟨ Previous Next ⟩

Abstract

We aim mainly at presenting a generalization of a transformation formula found by Baillon and Bruck. The result is derived with the help of the well-known quadratic transformation formula due to Gauss.

Keywords

References

  1. J.-B. Baillon and R. E. Bruck, The rate of asymptotic regularity is o($\sqrt[]{\frac{1}{n}}$), Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, Lecture Notes in Pure and Appl. Math., Dekker, New York, 178 (1996), 51-81
  2. P. Paule, A classical hypergeometric proof of an important transformation formula found by Baillon and Bruck, Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, Lecture Notes in Pure and Appl. Math., Dekker, New York, 178 (1996), 241-242
  3. E. D. Rainville, Special Functions, The Macmillan Company, New York, 1960
  4. D. Zeilberger, A fast algorithm for proving terminating hypergeometric identities, Discr. Math. 80 (1990), 207-211 https://doi.org/10.1016/0012-365X(90)90120-7

Cited by

  1. Generalization of a Quadratic Transformation Formula due to Gauss vol.2012, 2012, https://doi.org/10.1155/2012/789519