East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
권호 표지
DOI QR코드

DOI QR Code

FURTHER EXTENSION OF TWO RESULTS INVOLVING 0F1 DUE TO BAILEY

  • Groth, Frederick (Potsdam University) ;
  • Choi, Junesang (Department of Mathematics, Dongguk University) ;
  • J, Prathima (Department of Mathematics, Manipal Institute of Technology, Manipal University) ;
  • Rathie, Arjun Kumar (Department of Mathematics, Vedant College of Engineering & Technology, Rajasthan Technical University)
  • Received : 2018.07.03
  • Accepted : 2018.07.30
  • Published : 2018.09.30
Download PDF
⟨ Previous Next ⟩

Abstract

Bailey presented two Bailey presented two interesting identities involving $_0F_1$, which have been generalized by Choi and Rathie who used two hypergeometric summation formulas due to Qureshi et al. In this note, we aim to show how one can establish, in an elementary way, two generalized formulas involving $_0F_1$ which include the above-mentioned identities as special cases. interesting identities involving 0F1, which

Keywords

References

  1. W. N. Bailey, Products of generalized hypergeometric series, Proc. London Math. Soc. 28(2) (1928), 242-254.
  2. J. Choi and A. K. Rathie, On a hypergeometric summation theorem due to Qureshi et al., Commun. Korean Math. Soc. 28(3) (2013), 527-534. https://doi.org/10.4134/CKMS.2013.28.3.527
  3. J. Choi and A. K. Rathie, A note on two results involving products of generalized hypergeometric functions, Int. J. Math. Anal. 10(12) (2016), 579-583. https://doi.org/10.12988/ijma.2016.6228
  4. M. I. Qureshi, K. Quaraishi and H. M. Srivastava, Some hypergeometric summation formulas and series identities associated with exponential and trigonometric functions, Integral Transforms Spec. Funct. 19(3-4) (2008), 267-276. https://doi.org/10.1080/10652460801896024
  5. H. M. Srivastava and J. Choi, Zeta and q-Zeta Functions and Associated Series and Integrals, Elsevier Science Publishers, Amsterdam, London and New York, 2012.