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Some Families of Apéry-Like Fibonacci and Lucas Series

Author

Listed:
  • Robert Frontczak

    (Landesbank Baden-Württemberg (LBBW), D-70173 Stuttgart, Germany)

  • Hari Mohan Srivastava

    (Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
    Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007 Baku, Azerbaijan
    Section of Mathematics, International Telematic University Uninettuno, I-00186 Rome, Italy)

  • Živorad Tomovski

    (Department of Mathematics, Faculty of Science, University of Ostrava, 70103 Ostrava, Czech Republic)

Abstract

In this paper, the authors investigate two special families of series involving the reciprocal central binomial coefficients and Lucas numbers. Connections with several familiar sums representing the integer-valued Riemann zeta function are also pointed out.

Suggested Citation

  • Robert Frontczak & Hari Mohan Srivastava & Živorad Tomovski, 2021. "Some Families of Apéry-Like Fibonacci and Lucas Series," Mathematics, MDPI, vol. 9(14), pages 1-10, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:14:p:1621-:d:591244
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    References listed on IDEAS

    as
    1. ,, 2004. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 20(2), pages 427-429, April.
    2. ,, 2004. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 20(1), pages 223-229, February.
    3. Hari Mohan Srivastava & Mohd. Irfan & Firdous A. Shah, 2021. "A Fibonacci Wavelet Method for Solving Dual-Phase-Lag Heat Transfer Model in Multi-Layer Skin Tissue during Hyperthermia Treatment," Energies, MDPI, vol. 14(8), pages 1-20, April.
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