Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2017, Cilt: 5 Sayı: 1, 64 - 69, 30.04.2017
https://doi.org/10.36753/mathenot.421700

Öz

Kaynakça

  • [1] Alzer, H., Inequalities for Euler’s gamma function, Forum Math., 20(6)(2008), 955–1004.
  • [2] Anderson, G.D. and Qiu, S.-L., A monotonicity property of the gamma function, Proc. Amer. Math. Soc., 125(1997), 3355–3362.
  • [3] Anderson, G.D., Vamanamurthy, M. K. and Vuorinen, M., Special functions of quasiconformal theory, Exposition. Math., 7(1989), 97-136.
  • [4] Batir, N., Inequalities for the gamma function, Arch. Math., 91(2008), 554–563.
  • [5] Chaudhry, M.A. and Zubair, S.M., Generalized incomplete gamma functions with applications, J. Comput. Appl. Math., 55(1994), 99–124.
  • [6] Chaudhry, M.A., Qadir, A., Rafique, M. and Zubair, S.M., Extension of Euler’s beta function, J. Comput. Appl. Math., 78(1997), 19–32.
  • [7] Chaudhry, M.A. and Zubair, S.M., On the decomposition of generalized incomplete gamma functions with applications to Fourier transforms, J. Comput. Appl. Math., 59(1995), 253–284.
  • [8] Chaudhry, M.A. and Zubair, S.M., Extended incomplete gamma functions with applications, J. Math. Anal. Appl., 274(2002), 725–745.
  • [9] Conway, J.H. and Guy, R.K., The book of numbers, Springer-Verlag, New York, 1996.
  • [10] Dil, A. and Mezö, I., A symmetric algorithm hyperharmonic and Fibonacci numbers, Appl. Math. Comput., 206(2008), 942–951.
  • [11] Graham, R.L., Knuth, D.E. and Patashnik, O., Concrete mathematics, Addison Wesley, 1993.
  • [12] Whittaker, E.T. and Watson, G.N., A Course of Modern Analysis, Cambridge Univ. Press, Cambridge, 1958.

On the hyper-gamma function

Yıl 2017, Cilt: 5 Sayı: 1, 64 - 69, 30.04.2017
https://doi.org/10.36753/mathenot.421700

Öz

In this paper, we introduce a new generalization for the gamma function as hyper-gamma function. Some
identities and integral representation are obtained for the this new generalization.

Kaynakça

  • [1] Alzer, H., Inequalities for Euler’s gamma function, Forum Math., 20(6)(2008), 955–1004.
  • [2] Anderson, G.D. and Qiu, S.-L., A monotonicity property of the gamma function, Proc. Amer. Math. Soc., 125(1997), 3355–3362.
  • [3] Anderson, G.D., Vamanamurthy, M. K. and Vuorinen, M., Special functions of quasiconformal theory, Exposition. Math., 7(1989), 97-136.
  • [4] Batir, N., Inequalities for the gamma function, Arch. Math., 91(2008), 554–563.
  • [5] Chaudhry, M.A. and Zubair, S.M., Generalized incomplete gamma functions with applications, J. Comput. Appl. Math., 55(1994), 99–124.
  • [6] Chaudhry, M.A., Qadir, A., Rafique, M. and Zubair, S.M., Extension of Euler’s beta function, J. Comput. Appl. Math., 78(1997), 19–32.
  • [7] Chaudhry, M.A. and Zubair, S.M., On the decomposition of generalized incomplete gamma functions with applications to Fourier transforms, J. Comput. Appl. Math., 59(1995), 253–284.
  • [8] Chaudhry, M.A. and Zubair, S.M., Extended incomplete gamma functions with applications, J. Math. Anal. Appl., 274(2002), 725–745.
  • [9] Conway, J.H. and Guy, R.K., The book of numbers, Springer-Verlag, New York, 1996.
  • [10] Dil, A. and Mezö, I., A symmetric algorithm hyperharmonic and Fibonacci numbers, Appl. Math. Comput., 206(2008), 942–951.
  • [11] Graham, R.L., Knuth, D.E. and Patashnik, O., Concrete mathematics, Addison Wesley, 1993.
  • [12] Whittaker, E.T. and Watson, G.N., A Course of Modern Analysis, Cambridge Univ. Press, Cambridge, 1958.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Mustafa Bahşi

Süleyman Solak

Yayımlanma Tarihi 30 Nisan 2017
Gönderilme Tarihi 18 Şubat 2016
Yayımlandığı Sayı Yıl 2017 Cilt: 5 Sayı: 1

Kaynak Göster

APA Bahşi, M., & Solak, S. (2017). On the hyper-gamma function. Mathematical Sciences and Applications E-Notes, 5(1), 64-69. https://doi.org/10.36753/mathenot.421700
AMA Bahşi M, Solak S. On the hyper-gamma function. Math. Sci. Appl. E-Notes. Nisan 2017;5(1):64-69. doi:10.36753/mathenot.421700
Chicago Bahşi, Mustafa, ve Süleyman Solak. “On the Hyper-Gamma Function”. Mathematical Sciences and Applications E-Notes 5, sy. 1 (Nisan 2017): 64-69. https://doi.org/10.36753/mathenot.421700.
EndNote Bahşi M, Solak S (01 Nisan 2017) On the hyper-gamma function. Mathematical Sciences and Applications E-Notes 5 1 64–69.
IEEE M. Bahşi ve S. Solak, “On the hyper-gamma function”, Math. Sci. Appl. E-Notes, c. 5, sy. 1, ss. 64–69, 2017, doi: 10.36753/mathenot.421700.
ISNAD Bahşi, Mustafa - Solak, Süleyman. “On the Hyper-Gamma Function”. Mathematical Sciences and Applications E-Notes 5/1 (Nisan 2017), 64-69. https://doi.org/10.36753/mathenot.421700.
JAMA Bahşi M, Solak S. On the hyper-gamma function. Math. Sci. Appl. E-Notes. 2017;5:64–69.
MLA Bahşi, Mustafa ve Süleyman Solak. “On the Hyper-Gamma Function”. Mathematical Sciences and Applications E-Notes, c. 5, sy. 1, 2017, ss. 64-69, doi:10.36753/mathenot.421700.
Vancouver Bahşi M, Solak S. On the hyper-gamma function. Math. Sci. Appl. E-Notes. 2017;5(1):64-9.

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