Research Article

SOME PROPERTIES ASSOCIATED WITH THE BESSEL MATRIX FUNCTIONS

Volume: 5 Number: 2 October 15, 2017
EN

SOME PROPERTIES ASSOCIATED WITH THE BESSEL MATRIX FUNCTIONS

Abstract

The main aim of this work is the development of some interesting properties which are associated with the Bessel matrix functions and its relationship with the hypergeometric matrix functions.

Keywords

References

  1. [1] Al-Salam, W.A. and Carlitz, L.: Some functions associated with the Bessel functions. J. Math. Mech., Vol. 12 (1963), 911-933.
  2. [2] Bateman, H. and Rice, S.O.: Some expansion associated with Bessel functions. Proc Natl Acad Sci USA, Vol. 21, No. 3 (1935), 173-179.
  3. [3] C ekim, B. and Altin, A.: Matrix analogues of some properties for Bessel matrix functions. J. Math. Sci. Univ. Tokyo, Vol. 22, No. 2 (2015), 519-530.
  4. [4] C ekim, B. and Erkus-Duman, E.: Integral representations for Bessel matrix functions. Gazi Univ. J. Sci., Vol. 27, No. 1 (2014), 663-667.
  5. [5] Chatterjea, S.K.: On a function with the Bessel functions. Ann. Univ. Ferrara Sez. VII Sci. Mat., Vol. 10, No. 1 (1961), 13-16.
  6. [6] Defez, E., and Jodar, L.: Some applications of the Hermite matrix polynomials series expansions. J. Comput. Appl. Math.. Vol. 99 (1998), 105-117.
  7. [7] Dunford, N., and Schwartz, J.T.: Linear Operators, part I, General Theory. Interscience Publishers, INC. New York, 1957. [8] Defez, E., and Jodar, L. Chebyshev matrix polynomials and second order matrix differential equations. Util. Math., Vol. 61 (2002), 107-123.
  8. [9] Jodar, L. Company, R., and Navarro, E.: Solving explicitly the Bessel matrix differential equation, without increasing problem dimension. Congr. Numer., Vol. 92 (1993), 261-276.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Ayman Shehata
Saudi Arabia

Publication Date

October 15, 2017

Submission Date

October 13, 2017

Acceptance Date

February 7, 2017

Published in Issue

Year 2017 Volume: 5 Number: 2

APA
Shehata, A. (2017). SOME PROPERTIES ASSOCIATED WITH THE BESSEL MATRIX FUNCTIONS. Konuralp Journal of Mathematics, 5(2), 24-35. https://izlik.org/JA49LY89KK
AMA
1.Shehata A. SOME PROPERTIES ASSOCIATED WITH THE BESSEL MATRIX FUNCTIONS. Konuralp J. Math. 2017;5(2):24-35. https://izlik.org/JA49LY89KK
Chicago
Shehata, Ayman. 2017. “SOME PROPERTIES ASSOCIATED WITH THE BESSEL MATRIX FUNCTIONS”. Konuralp Journal of Mathematics 5 (2): 24-35. https://izlik.org/JA49LY89KK.
EndNote
Shehata A (October 1, 2017) SOME PROPERTIES ASSOCIATED WITH THE BESSEL MATRIX FUNCTIONS. Konuralp Journal of Mathematics 5 2 24–35.
IEEE
[1]A. Shehata, “SOME PROPERTIES ASSOCIATED WITH THE BESSEL MATRIX FUNCTIONS”, Konuralp J. Math., vol. 5, no. 2, pp. 24–35, Oct. 2017, [Online]. Available: https://izlik.org/JA49LY89KK
ISNAD
Shehata, Ayman. “SOME PROPERTIES ASSOCIATED WITH THE BESSEL MATRIX FUNCTIONS”. Konuralp Journal of Mathematics 5/2 (October 1, 2017): 24-35. https://izlik.org/JA49LY89KK.
JAMA
1.Shehata A. SOME PROPERTIES ASSOCIATED WITH THE BESSEL MATRIX FUNCTIONS. Konuralp J. Math. 2017;5:24–35.
MLA
Shehata, Ayman. “SOME PROPERTIES ASSOCIATED WITH THE BESSEL MATRIX FUNCTIONS”. Konuralp Journal of Mathematics, vol. 5, no. 2, Oct. 2017, pp. 24-35, https://izlik.org/JA49LY89KK.
Vancouver
1.Ayman Shehata. SOME PROPERTIES ASSOCIATED WITH THE BESSEL MATRIX FUNCTIONS. Konuralp J. Math. [Internet]. 2017 Oct. 1;5(2):24-35. Available from: https://izlik.org/JA49LY89KK
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