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A New Generalization of Pochhammer Symbol and Its Applications

Recep Şahin

Recep Şahin

Department of Mathematics, Kırıkkale University, Faculty of Science KırıkkaleTurkey
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Şahin, Recep
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Oğuz Yağcı

Oğuz Yağcı

Department of Mathematics, Kırıkkale University, Faculty of Science KırıkkaleTurkey
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Yağcı, Oğuz
  
Mar 31, 2020
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Published Online: Mar 31, 2020
Page range: 255 - 266
Received: Jun 14, 2019
Accepted: Jul 10, 2019
DOI: https://doi.org/10.2478/amns.2020.1.00023
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© 2020 Recep Şahin et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

In this paper, we introduce a new generalization of the Pochhammer symbol by means of the generalization of extended gamma function (4). Using the generalization of Pochhammer symbol, we give a generalization of the extended hypergeo-metric functions one or several variables. Also, we obtain various integral representations, derivative formulas and certain properties of these functions.

Language:
English
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1 times per year
Journal Subjects:
Life Sciences, Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics, Physics, other
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