IDEAS home Printed from https://ideas.repec.org/a/wly/jnlamp/v2022y2022i1n6815685.html

The K Extended Laguerre Polynomials Involving Aαr,n,kxr Fr, r > 2

Author

Listed:
  • Adnan Khan
  • M. Haris Mateen
  • Ali Akgül
  • Md. Shajib Ali

Abstract

In this manuscript, we present the generalized hypergeometric function of the type r Fr, r > 2 and extension of the K Laguerre polynomial for the K extended Laguerre polynomials Ar,n,kαx. Additionally, we describe the K generating function, K recurrence relations, and KS Rodrigues formula.

Suggested Citation

  • Adnan Khan & M. Haris Mateen & Ali Akgül & Md. Shajib Ali, 2022. "The K Extended Laguerre Polynomials Involving Aαr,n,kxr Fr, r > 2," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
  • Handle: RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:6815685
    DOI: 10.1155/2022/6815685
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2022/6815685
    Download Restriction: no

    File URL: https://libkey.io/10.1155/2022/6815685?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Qura Tul Ain & T. Sathiyaraj & Shazia Karim & Muhammad Nadeem & Patrick Kandege Mwanakatwe & C. Rajivganthi, 2022. "ABC Fractional Derivative for the Alcohol Drinking Model using Two-Scale Fractal Dimension," Complexity, Hindawi, vol. 2022, pages 1-11, June.
    2. Kang-Le Wang & Hao Wang, 2022. "Fractal Variational Principles For Two Different Types Of Fractal Plasma Models With Variable Coefficients," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(03), pages 1-6, May.
    3. Din, Anwarud & Li, Yongjin & Khan, Tahir & Zaman, Gul, 2020. "Mathematical analysis of spread and control of the novel corona virus (COVID-19) in China," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    4. Anwarud Din & Yongjin Li & Faiz Muhammad Khan & Zia Ullah Khan & Peijiang Liu, 2022. "On Analysis Of Fractional Order Mathematical Model Of Hepatitis B Using Atangana–Baleanu Caputo (Abc) Derivative," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(01), pages 1-18, February.
    5. Anwarud Din & Yongjin Li & Abdullahi Yusuf & Aliyu Isa Ali, 2022. "Caputo Type Fractional Operator Applied To Hepatitis B System," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(01), pages 1-11, February.
    6. Qura Tul Ain & T. Sathiyaraj & Shazia Karim & Muhammad Nadeem & Patrick Kandege Mwanakatwe, 2022. "ABC Fractional Derivative for the Alcohol Drinking Model using Two‐Scale Fractal Dimension," Complexity, John Wiley & Sons, vol. 2022(1).
    7. Ain, Qura tul & Khan, Aziz & Ullah, Muhammad Irfan & Alqudah, Manar A. & Abdeljawad, Thabet, 2022. "On fractional impulsive system for methanol detoxification in human body," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    8. Kangle Wang, 2022. "Fractal Solitary Wave Solutions For Fractal Nonlinear Dispersive Boussinesq-Like Models," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(04), pages 1-8, June.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Farah M. Al-Askar & Wael W. Mohammed, 2022. "The Analytical Solutions of the Stochastic Fractional RKL Equation via Jacobi Elliptic Function Method," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    2. Qura Tul Ain & Muhammad Nadeem & Devendra Kumar & Mohd Asif Shah, 2023. "Analysis of Fuzzy Differential Equation with Fractional Derivative in Caputo Sense," Advances in Mathematical Physics, John Wiley & Sons, vol. 2023(1).
    3. Abdulfatai Atte Momoh & Abubakar Audu & Déthié Dione & Inalegwu Michael Ali, 2023. "On the Optimal Control of Intervention Strategies for Hepatitis B Model," Abstract and Applied Analysis, John Wiley & Sons, vol. 2023(1).
    4. Yaagoub, Zakaria & Allali, Karam, 2022. "Fractional HBV infection model with both cell-to-cell and virus-to-cell transmissions and adaptive immunity," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    5. Jufren Zakayo Ndendya & Stephen Edward & Maganga Sambo, 2025. "A Caputo Fractional‐Order Model for Dog Rabies Transmission With Vaccination: A Case Study of Ulanga District, Tanzania," Abstract and Applied Analysis, John Wiley & Sons, vol. 2025(1).
    6. Chein-Shan Liu & Jiang-Ren Chang & Jian-Hung Shen & Yung-Wei Chen, 2022. "A Boundary Shape Function Method for Computing Eigenvalues and Eigenfunctions of Sturm–Liouville Problems," Mathematics, MDPI, vol. 10(19), pages 1-22, October.
    7. Mrutyunjaya Sahoo & Snehashish Chakraverty, 2022. "Sawi Transform Based Homotopy Perturbation Method for Solving Shallow Water Wave Equations in Fuzzy Environment," Mathematics, MDPI, vol. 10(16), pages 1-24, August.
    8. H. J. Alsakaji & F. A. Rihan & A. Hashish, 2022. "Dynamics of a Stochastic Epidemic Model with Vaccination and Multiple Time‐Delays for COVID‐19 in the UAE," Complexity, John Wiley & Sons, vol. 2022(1).
    9. Peng-Fei Li & Kang-Jia Wang, 2022. "Diverse Soliton Structures of the (2 + 1)‐Dimensional Nonlinear Electrical Transmission Line Equation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    10. Alkhazzan, Abdulwasea & Wang, Jungang & Nie, Yufeng & Khan, Hasib & Alzabut, Jehad, 2024. "A novel SIRS epidemic model for two diseases incorporating treatment functions, media coverage, and three types of noise," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    11. Rahman, Mati ur & Ahmad, Saeed & Matoog, R.T. & Alshehri, Nawal A. & Khan, Tahir, 2021. "Study on the mathematical modelling of COVID-19 with Caputo-Fabrizio operator," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    12. Zhang, Ge & Li, Zhiming & Din, Anwarud, 2022. "A stochastic SIQR epidemic model with Lévy jumps and three-time delays," Applied Mathematics and Computation, Elsevier, vol. 431(C).
    13. Din, Anwarud & Li, Yongjin & Yusuf, Abdullahi, 2021. "Delayed hepatitis B epidemic model with stochastic analysis," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    14. Yassine Sabbar & Asad Khan & Anwarud Din, 2022. "Probabilistic Analysis of a Marine Ecological System with Intense Variability," Mathematics, MDPI, vol. 10(13), pages 1-19, June.
    15. Wen Dong & Peng Zhang & Quan-Li Xu & Zhong-Da Ren & Jie Wang, 2022. "A Study on a Neural Network Risk Simulation Model Construction for Avian Influenza A (H7N9) Outbreaks in Humans in China during 2013–2017," IJERPH, MDPI, vol. 19(17), pages 1-16, August.
    16. Xuan Leng & Asad Khan & Anwarud Din, 2023. "Probability Analysis of a Stochastic Non-Autonomous SIQRC Model with Inference," Mathematics, MDPI, vol. 11(8), pages 1-18, April.
    17. Ihtisham Ul Haq & Numan Ullah & Nigar Ali & Kottakkaran Sooppy Nisar, 2022. "A New Mathematical Model of COVID-19 with Quarantine and Vaccination," Mathematics, MDPI, vol. 11(1), pages 1-21, December.
    18. Asamoah, Joshua Kiddy K. & Fatmawati,, 2023. "A fractional mathematical model of heartwater transmission dynamics considering nymph and adult amblyomma ticks," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    19. Jirong Yang & Farkhanda Afzal & Perpetual Appiah, 2022. "ABC Fractional Derivative for Varicella‐Zoster Virus Using Two‐Scale Fractal Dimension Approach with Vaccination," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    20. Sabir, Zulqurnain & Said, Salem Ben & Baleanu, Dumitru, 2022. "Swarming optimization to analyze the fractional derivatives and perturbation factors for the novel singular model," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:6815685. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/3197 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.