Research Article
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k-Gama Fonksiyonu Üzerine Bazı Monotonluk Özellikleri

Year 2019, Volume: 9 Issue: 1, 66 - 76, 28.06.2019

Abstract

Bu
çalışmanın amacı,
 olmak
üzere
-gama fonksiyonunun logaritmasını içeren
bazı fonksiyonların monotonluk özelliklerini elde etmektir.

References

  • Abramowitz M., Stegun I. A., Handbook of Mathematical Functions, with Formulas, Graphs, and Mathematical Tables, Dover, New York, 1965.
  • Alzer H., Some gamma function inequalities, Math. Comp., 60, 337-346, 1993.
  • Alzer H., Inequalities for the gamma and psi functions, Abh. Math. Sem. Hamburg, 68, 363-372, 1998.
  • Anderson, G., Qiu, S. L., A monotoneity property of the gamma function, Proceedings of the American Mathematical Society, 125(11), 3355-3362, 1997.
  • Diaz R., Pariguan E., On hypergeometric functions and Pochhammer k-symbol, Divulg. Mat., 15(2), 179-192, 2007.
  • Elbert, Á., Laforgia, A., On some properties of the gamma function, Proceedings of the American Mathematical Society, 128(9), 2667-2673, 2000.
  • Gautschi W., Some elementary inequalities relating to the gamma and incomplete gamma function, Journal of Mathematics and Physics, 38(1), 77-81, 1959.
  • Gradshteyn, I. S., Ryzhik, I. M. Table of integrals, series, and products. Academic press, 2014.
  • Krasniqi V., Inequalities and monotonicity for the ration of k-gamma function, Scientia Magna, 6(1), 40-45, 2010.
  • Neumann E., Some inequalities for the gamma function, Appl. Math. Comput., 218(8), 4349-4352, 2011.
  • Sandor, J., Sur la fonction Gamma, Publ. C. Rech. Math. Pures Neuchâtel, 4-7, 1989.

Some Monotonicity Properties on k-Gamma Function

Year 2019, Volume: 9 Issue: 1, 66 - 76, 28.06.2019

Abstract

The aim of this work is to obtain some monotonicity properties for the
functions involving the logarithms of the k




















-gamma function for

k>0.

References

  • Abramowitz M., Stegun I. A., Handbook of Mathematical Functions, with Formulas, Graphs, and Mathematical Tables, Dover, New York, 1965.
  • Alzer H., Some gamma function inequalities, Math. Comp., 60, 337-346, 1993.
  • Alzer H., Inequalities for the gamma and psi functions, Abh. Math. Sem. Hamburg, 68, 363-372, 1998.
  • Anderson, G., Qiu, S. L., A monotoneity property of the gamma function, Proceedings of the American Mathematical Society, 125(11), 3355-3362, 1997.
  • Diaz R., Pariguan E., On hypergeometric functions and Pochhammer k-symbol, Divulg. Mat., 15(2), 179-192, 2007.
  • Elbert, Á., Laforgia, A., On some properties of the gamma function, Proceedings of the American Mathematical Society, 128(9), 2667-2673, 2000.
  • Gautschi W., Some elementary inequalities relating to the gamma and incomplete gamma function, Journal of Mathematics and Physics, 38(1), 77-81, 1959.
  • Gradshteyn, I. S., Ryzhik, I. M. Table of integrals, series, and products. Academic press, 2014.
  • Krasniqi V., Inequalities and monotonicity for the ration of k-gamma function, Scientia Magna, 6(1), 40-45, 2010.
  • Neumann E., Some inequalities for the gamma function, Appl. Math. Comput., 218(8), 4349-4352, 2011.
  • Sandor, J., Sur la fonction Gamma, Publ. C. Rech. Math. Pures Neuchâtel, 4-7, 1989.
There are 11 citations in total.

Details

Primary Language English
Journal Section Mathematics
Authors

Emrah Yıldırım 0000-0002-4563-5275

İnci Ege 0000-0002-3702-7456

Publication Date June 28, 2019
Submission Date July 5, 2018
Acceptance Date May 28, 2019
Published in Issue Year 2019 Volume: 9 Issue: 1

Cite

APA Yıldırım, E., & Ege, İ. (2019). Some Monotonicity Properties on k-Gamma Function. Adıyaman University Journal of Science, 9(1), 66-76.
AMA Yıldırım E, Ege İ. Some Monotonicity Properties on k-Gamma Function. ADYU J SCI. June 2019;9(1):66-76.
Chicago Yıldırım, Emrah, and İnci Ege. “Some Monotonicity Properties on K-Gamma Function”. Adıyaman University Journal of Science 9, no. 1 (June 2019): 66-76.
EndNote Yıldırım E, Ege İ (June 1, 2019) Some Monotonicity Properties on k-Gamma Function. Adıyaman University Journal of Science 9 1 66–76.
IEEE E. Yıldırım and İ. Ege, “Some Monotonicity Properties on k-Gamma Function”, ADYU J SCI, vol. 9, no. 1, pp. 66–76, 2019.
ISNAD Yıldırım, Emrah - Ege, İnci. “Some Monotonicity Properties on K-Gamma Function”. Adıyaman University Journal of Science 9/1 (June 2019), 66-76.
JAMA Yıldırım E, Ege İ. Some Monotonicity Properties on k-Gamma Function. ADYU J SCI. 2019;9:66–76.
MLA Yıldırım, Emrah and İnci Ege. “Some Monotonicity Properties on K-Gamma Function”. Adıyaman University Journal of Science, vol. 9, no. 1, 2019, pp. 66-76.
Vancouver Yıldırım E, Ege İ. Some Monotonicity Properties on k-Gamma Function. ADYU J SCI. 2019;9(1):66-7.

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