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SOME PROPERTIES ASSOCIATED WITH THE BESSEL MATRIX FUNCTIONS

Yıl 2017, Cilt: 5 Sayı: 2, 24 - 35, 15.10.2017

Öz

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.

Kaynakça

  • [1] Al-Salam, W.A. and Carlitz, L.: Some functions associated with the Bessel functions. J. Math. Mech., Vol. 12 (1963), 911-933.
  • [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] 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] 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] 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] Defez, E., and Jodar, L.: Some applications of the Hermite matrix polynomials series expansions. J. Comput. Appl. Math.. Vol. 99 (1998), 105-117.
  • [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.
  • [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.
  • [10] Jodar, L. Company, R. and Navarro, E.: Bessel matrix functions: explicit solution of coupled Bessel type equations. Util. Math., Vol. 46 (1994), 129-141.
  • [11] Jodar, L., and Cortes, J.C.: Some properties of Gamma and Beta matrix functions. Appl. Math. Lett., Vol. 11, (1998), 89-93. [12] Jodar, L., and Cortes, J.C.: On the hypergeometric matrix function. J. Comput. Appl. Math., Vol. 99 (1998), 205-217.
  • [13] Jodar, L., and Cortes, J.C.: Closed form general solution of the hypergeometric matrix di erential equation. Math. Comput. Model., Vol. 32 (2000), 1017-1028.
  • [14] Sastre, J., and Jodar, L.: Asymptotics of the modi ed Bessel and incomplete Gamma matrix functions. Appl. Math. Lett., Vol. 16, No. 6 (2003), 815-820.
  • [15] Shehata, A.: On modi ed Laguerre matrix polynomials. J. Nat. Sci. Math., Vol. 8, No. 2 (2015), 153-166.
  • [16] Shehata, A.: Some relations on Laguerre matrix polynomials. Malays. J. Math. Sci., Vol. 9, No. 3 (2015), 443-462.
  • [17] Shehata, A.: A new extension of Bessel matrix functions. Southeast Asian Bull. Math., Vol. 40, No. 2 (2016), 265-288.
  • [18] Shehata, A.: A new kind of Legendre matrix polynomials. Gazi Univ. J. Sci., Vol. 29, No. 2 (2016), 535-558.
  • [19] Shehata, A.: Some relations on Konhauser matrix polynomials. Miskolc Math. Notes, Vol. 17, No. 1 (2016), 605-633.
  • [20] Srivastava, H.M.: An entire function associated with the Bessel functions. Collect. Math., Vol. 16 (1964), 127-148.
Yıl 2017, Cilt: 5 Sayı: 2, 24 - 35, 15.10.2017

Öz

Kaynakça

  • [1] Al-Salam, W.A. and Carlitz, L.: Some functions associated with the Bessel functions. J. Math. Mech., Vol. 12 (1963), 911-933.
  • [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] 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] 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] 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] Defez, E., and Jodar, L.: Some applications of the Hermite matrix polynomials series expansions. J. Comput. Appl. Math.. Vol. 99 (1998), 105-117.
  • [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.
  • [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.
  • [10] Jodar, L. Company, R. and Navarro, E.: Bessel matrix functions: explicit solution of coupled Bessel type equations. Util. Math., Vol. 46 (1994), 129-141.
  • [11] Jodar, L., and Cortes, J.C.: Some properties of Gamma and Beta matrix functions. Appl. Math. Lett., Vol. 11, (1998), 89-93. [12] Jodar, L., and Cortes, J.C.: On the hypergeometric matrix function. J. Comput. Appl. Math., Vol. 99 (1998), 205-217.
  • [13] Jodar, L., and Cortes, J.C.: Closed form general solution of the hypergeometric matrix di erential equation. Math. Comput. Model., Vol. 32 (2000), 1017-1028.
  • [14] Sastre, J., and Jodar, L.: Asymptotics of the modi ed Bessel and incomplete Gamma matrix functions. Appl. Math. Lett., Vol. 16, No. 6 (2003), 815-820.
  • [15] Shehata, A.: On modi ed Laguerre matrix polynomials. J. Nat. Sci. Math., Vol. 8, No. 2 (2015), 153-166.
  • [16] Shehata, A.: Some relations on Laguerre matrix polynomials. Malays. J. Math. Sci., Vol. 9, No. 3 (2015), 443-462.
  • [17] Shehata, A.: A new extension of Bessel matrix functions. Southeast Asian Bull. Math., Vol. 40, No. 2 (2016), 265-288.
  • [18] Shehata, A.: A new kind of Legendre matrix polynomials. Gazi Univ. J. Sci., Vol. 29, No. 2 (2016), 535-558.
  • [19] Shehata, A.: Some relations on Konhauser matrix polynomials. Miskolc Math. Notes, Vol. 17, No. 1 (2016), 605-633.
  • [20] Srivastava, H.M.: An entire function associated with the Bessel functions. Collect. Math., Vol. 16 (1964), 127-148.
Toplam 18 adet kaynakça vardır.

Ayrıntılar

Konular Mühendislik
Bölüm Articles
Yazarlar

Ayman Shehata

Yayımlanma Tarihi 15 Ekim 2017
Gönderilme Tarihi 13 Ekim 2017
Kabul Tarihi 7 Şubat 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 5 Sayı: 2

Kaynak Göster

APA Shehata, A. (2017). SOME PROPERTIES ASSOCIATED WITH THE BESSEL MATRIX FUNCTIONS. Konuralp Journal of Mathematics, 5(2), 24-35.
AMA Shehata A. SOME PROPERTIES ASSOCIATED WITH THE BESSEL MATRIX FUNCTIONS. Konuralp J. Math. Ekim 2017;5(2):24-35.
Chicago Shehata, Ayman. “SOME PROPERTIES ASSOCIATED WITH THE BESSEL MATRIX FUNCTIONS”. Konuralp Journal of Mathematics 5, sy. 2 (Ekim 2017): 24-35.
EndNote Shehata A (01 Ekim 2017) SOME PROPERTIES ASSOCIATED WITH THE BESSEL MATRIX FUNCTIONS. Konuralp Journal of Mathematics 5 2 24–35.
IEEE A. Shehata, “SOME PROPERTIES ASSOCIATED WITH THE BESSEL MATRIX FUNCTIONS”, Konuralp J. Math., c. 5, sy. 2, ss. 24–35, 2017.
ISNAD Shehata, Ayman. “SOME PROPERTIES ASSOCIATED WITH THE BESSEL MATRIX FUNCTIONS”. Konuralp Journal of Mathematics 5/2 (Ekim 2017), 24-35.
JAMA 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, c. 5, sy. 2, 2017, ss. 24-35.
Vancouver Shehata A. SOME PROPERTIES ASSOCIATED WITH THE BESSEL MATRIX FUNCTIONS. Konuralp J. Math. 2017;5(2):24-35.
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