Search Results - "hyperbolic and trigonometric functions"

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  1. 1

    Explicit evaluation of a family of Berndt-type integrals by Rui, Hongyuan, Xu, Ce, Yang, Ruyi, Zhao, Jianqiang

    ISSN: 0022-247X
    Published: Elsevier Inc 01.01.2025
    “…In this paper, we compute a family of infinite integrals involving hyperbolic and trigonometric functions, which we will call Berndt-type integrals. By contour…”
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    Journal Article
  2. 2

    Explicit evaluation of a family of Ramanujan-type integrals by Pan, Ende, Wang, Xiyu

    ISSN: 1065-2469, 1476-8291
    Published: Taylor & Francis 03.10.2025
    Published in Integral transforms and special functions (03.10.2025)
    “…In this note, we calculate a family of infinite integrals containing trigonometric functions and hyperbolic cosine functions in their integrands by using…”
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    Journal Article
  3. 3

    A study of sharp coefficient bounds for a new subfamily of starlike functions by Ullah, Khalil, Srivastava, H. M., Rafiq, Ayesha, Arif, Muhammad, Arjika, Sama

    ISSN: 1029-242X, 1025-5834, 1029-242X
    Published: Cham Springer International Publishing 17.12.2021
    Published in Journal of inequalities and applications (17.12.2021)
    “…In this article, by employing the hyperbolic tangent function tanh z , a subfamily S tanh ∗ of starlike functions in the open unit disk D ⊂ C : D = { z : z ∈ C…”
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    Journal Article
  4. 4

    Ramanujan-Berndt-type integrals of order four and series associated with Jacobi elliptic functions by Zhang, Yuting, Rui, Hongyuan

    ISSN: 1065-2469, 1476-8291
    Published: Abingdon Taylor & Francis 04.05.2025
    Published in Integral transforms and special functions (04.05.2025)
    “…In this paper, we evaluate in closed forms two families of infinite integrals containing hyperbolic and trigonometric cosine functions in their integrands. We…”
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    Journal Article
  5. 5

    Application of Fan sub-equation method to complex nonlinear time fractional Maccari system by N Kadkhoda

    ISSN: 2717-2708
    Published: Qom University of Technology 01.05.2022
    Published in Mathematics and computational sciences (01.05.2022)
    “…In this study, the Fan sub-equation method is applied to study exact solutions of complexnonlinear time fractional Maccari system. Using this method, we obtain…”
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    Journal Article
  6. 6

    Interaction Solutions of Long and Short Waves in a Flexible Environment by Akturk, Tolga

    ISSN: 1110-0168
    Published: Elsevier B.V 01.06.2020
    Published in Alexandria engineering journal (01.06.2020)
    “…In this study, the new traveling wave solutions resulting from the interaction of the long-short wave system were obtained by using the exp-function method…”
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  7. 7

    Multiple wave solutions and auto-Bäcklund transformation for the (3+1)-dimensional generalized B-type Kadomtsev–Petviashvili equation by Cheng, Li, Zhang, Yi

    ISSN: 0898-1221, 1873-7668
    Published: Elsevier Ltd 01.09.2015
    “…The multiple Exp-function method is used to construct multiple wave solutions to the (3+1)-dimensional generalized BKP equation. The resulting solutions…”
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  8. 8

    Exact solutions for the perturbed nonlinear Schrödinger equation with power law nonlinearity and Hamiltonian perturbed terms by Zayed, Elsayed M.E., Al-Nowehy, Abdul-Ghani

    ISSN: 0030-4026, 1618-1336
    Published: Elsevier GmbH 01.06.2017
    Published in Optik (Stuttgart) (01.06.2017)
    “…In this paper, we apply four mathematical methods, namely, the sine–cosine method, the Jacobi elliptic equation method, the generalized Kudryashov method and…”
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    Journal Article