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On the sum of the Lah numbers and zeros of the Kummer confluent hypergeometric function

Feng Qi

Feng Qi

Institute of Mathematics, Henan Polytechnic University, College of Mathematics, Inner Mongolia University for Nationalities, Department of Mathematics, College of Science, Tianjin Polytechnic University
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Qi, Feng
 and 
Bai-Ni Guo

Bai-Ni Guo

School of Mathematics and Informatics, Henan Polytechnic UniversityChina
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Guo, Bai-Ni
  
Sep 10, 2018
On the sum of the Lah numbers and zeros of the Kummer confluent hypergeometric function's Cover Image
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Published Online: Sep 10, 2018
Page range: 125 - 133
Received: Jun 17, 2017
DOI: https://doi.org/10.2478/ausm-2018-0011
Keywords
© 2018 Feng Qi et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In the paper, the authors find the sum of the Lah numbers and make sure that the Kummer confluent hypergeometric function 1F1(n+ 1; 2; z) has only n− 1real and negative zeros.

Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Mathematics, General Mathematics
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