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ADDITION THEOREM AND CERTAIN PROPERTIES OF k-BESSEL FUNCTION

Yıl 2020, Cilt: 10 Sayı: 1, 95 - 101, 01.01.2020

Öz

Our purpose in this paper is to study certain basic properties of k-Bessel function, introduced by Gehlot [Nonl. Anal. Di . Eq., 2 2 2014 , 61-67]. In this regard, we obtain addition theorem, expansions formula, integral representations and recurrence relation etc. Further, we also evaluate the relation between k-Bessel's function and Gauss hypergemetric function.

Kaynakça

  • Arfken,H.J. and Weber,G.B., (2005), Mathematical Methods for Physicists, Elsevier Academic Press.
  • Aurich,R., Lustig,S., Steiner,F. and Then,H., (2004), Hyperbolic universes with a horned topology and the cosmic microwave background anisotropy, Class. Quantum. Grav., 21, 4901-4925.
  • Diaz,R. and Pariguan,E., (2007), On hypergeometric functions and Pochhammer k-symbol, Divulga- ciones Mathem´aticas, 15(2), 179-192.
  • Gehlot,K.S., (2014), Differential equation of k-Bessel’s function and its properties, Nonl. Anal. Diff. Eq., 2(2), 61-67.
  • Gehlot,K.S., (2016), Recurrence relations of k-Bessel’s function, Thai J. Math., 14(3), 677685.
  • Gehlot,K.S. and Purohit,S.D., (2014), Fractional calculus of k-Bessel’s functions, Acta Univ. Apulen- sis, Math. Inform., 38, 273-278.
  • Molisch,A.F., (2005), Fundamentals of Wireless Communication, Cambridge university press.
  • Rainville,E.D., (1963), Special Functions, The Macmillan Company, New York.
  • Sadowsky,J.S. and Kafedziski,V., (1998), On the correlation and scattering functions of the WSSUS Channel for mobile communications, IEEE Transactions on Vehicular Technology, 47(1), 270-282.
  • Tse,D. and Viswanath,P., (2005), Fundamentals of Wireless Communication, Cambridge University Press.
Yıl 2020, Cilt: 10 Sayı: 1, 95 - 101, 01.01.2020

Öz

Kaynakça

  • Arfken,H.J. and Weber,G.B., (2005), Mathematical Methods for Physicists, Elsevier Academic Press.
  • Aurich,R., Lustig,S., Steiner,F. and Then,H., (2004), Hyperbolic universes with a horned topology and the cosmic microwave background anisotropy, Class. Quantum. Grav., 21, 4901-4925.
  • Diaz,R. and Pariguan,E., (2007), On hypergeometric functions and Pochhammer k-symbol, Divulga- ciones Mathem´aticas, 15(2), 179-192.
  • Gehlot,K.S., (2014), Differential equation of k-Bessel’s function and its properties, Nonl. Anal. Diff. Eq., 2(2), 61-67.
  • Gehlot,K.S., (2016), Recurrence relations of k-Bessel’s function, Thai J. Math., 14(3), 677685.
  • Gehlot,K.S. and Purohit,S.D., (2014), Fractional calculus of k-Bessel’s functions, Acta Univ. Apulen- sis, Math. Inform., 38, 273-278.
  • Molisch,A.F., (2005), Fundamentals of Wireless Communication, Cambridge university press.
  • Rainville,E.D., (1963), Special Functions, The Macmillan Company, New York.
  • Sadowsky,J.S. and Kafedziski,V., (1998), On the correlation and scattering functions of the WSSUS Channel for mobile communications, IEEE Transactions on Vehicular Technology, 47(1), 270-282.
  • Tse,D. and Viswanath,P., (2005), Fundamentals of Wireless Communication, Cambridge University Press.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

K. S. Gehlot Bu kişi benim

S. D. Purohit Bu kişi benim

J. B. Sharma Bu kişi benim

Yayımlanma Tarihi 1 Ocak 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 10 Sayı: 1

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