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Some Results on Differential Polynomials of Meromorphic Functions Sharing Certain Values

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Mathematics and Computing (ICMC 2022)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 415))

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Abstract

Off late, “Value Distribution Theory” concerning the differential polynomials of meromorphic functions is studied thoroughly. In this article, we consider a differential polynomial of a meromorphic function and its corresponding q-shift differential polynomial sharing the value 1, counted according to multiplicity and ignoring multiplicity to prove the uniqueness theorem. The concepts of normal families are employed to procure the main result, which in turn generalizes the existing result....

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Author information

Authors and Affiliations

  1. Department of Mathematics School of Engineering, Presidency University, Itagalpur, Bengaluru, 560064, Karnataka, India

    M. Tejuswini & N. Shilpa

Authors
  1. M. Tejuswini
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  2. N. Shilpa
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Corresponding author

Correspondence to M. Tejuswini .

Editor information

Editors and Affiliations

  1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    B. Rushi Kumar

  2. Department of Mathematics, Indian Institute of Technology Madras, Chennai, Tamil Nadu, India

    S. Ponnusamy

  3. Department of Information Technology, Maulana Abul Kalam Azad University of Technology, Haringhata, West Bengal, India

    Debasis Giri

  4. Department of Computer Science, The University of Texas at Dallas, Richardson, TX, USA

    Bhavani Thuraisingham

  5. Department of Computer Science, Purdue University, West Lafayette, IN, USA

    Christopher W. Clifton

  6. Department of Theoretical and Applied Sciences, University of Insubria, Varese, Italy

    Barbara Carminati

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Tejuswini, M., Shilpa, N. (2022). Some Results on Differential Polynomials of Meromorphic Functions Sharing Certain Values. In: Rushi Kumar, B., Ponnusamy, S., Giri, D., Thuraisingham, B., Clifton, C.W., Carminati, B. (eds) Mathematics and Computing. ICMC 2022. Springer Proceedings in Mathematics & Statistics, vol 415. Springer, Singapore. https://doi.org/10.1007/978-981-19-9307-7_24

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