10.1007/s40096-021-00382-9

Asymptotic expansions for certain exponential-type operators connected with 2x3/2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$2x^{3/2}$$\end{document}

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  • Ulrich Abel*1,
  • Vijay Gupta2,
  • Vitaliy Kushnirevych1,
  1. Department MND, Technische Hochschule Mittelhessen, Friedberg, 61169, DE
  2. Department of Mathematics, Netaji Subhas University of Technology, New Delhi, 110078, IN

Published in Issue 2021-02-17

How to Cite

Abel, U., Gupta, V., & Kushnirevych, V. (2021). Asymptotic expansions for certain exponential-type operators connected with 2x3/2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$2x^{3/2}$$\end{document}. Mathematical Sciences, 15(3 (September 2021). https://doi.org/10.1007/s40096-021-00382-9
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Abstract

Abstract In the present paper, we consider the complete asymptotic expansion of certain exponential-type operators connected with 2x3/2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$2x^{3/2}$$\end{document} . Also, a modification of such exponential-type operators is provided, which preserve the function eAx\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{e}^{Ax}$$\end{document} .

Keywords

  • Exponential-type operators,
  • Asymptotic expansion,
  • Modified Bessel function,
  • Degree of approximation
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References

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