Results 11 to 20 of about 37,190 (197)
Discrete complementary exponential and sine integral functions
Demonstratio Mathematica, 2023 Discrete analogues of the sine integral and complementary exponential integral functions are investigated. Hypergeometric representation, power series, and Laplace transforms are derived for each.
Assaf Samer, Cuchta Tom
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New Interaction Solutions for a (2 + 1)-Dimensional Vakhnenko Equation
Complexity, 2020 In this paper, we focus on the interaction solutions of a (2 + 1)-dimensional Vakhnenko equation. By using Hirota’s transformation combined with the three-wave method and with symbolic computation, some interaction solutions which include interaction ...
Qing Meng, Bin He
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k-Fractional trigonometric functions [PDF]
, 2014 Based on the k-Mittag-Lefler function and the k-α-Exponential Function we introduce families of functions that allows us define new fractional trigonometric functions that contain the classical trigonometric functions as particular case for some ...
Cerutti, Ruben Alejandro +1 more
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On the shape of the radiation survival curve in tumor spheroids: The role of oxygen heterogeneity. [PDF]
Med PhysAbstract Background The shape of cell survival curves at the tissue level remains an open question in radiobiology. While homogeneous cell populations (so‐called single cells) typically exhibit an exponential decrease in survival with increasing dose, it is unclear whether this behavior persists in multicellular systems, where oxygen and nutrient ...
Schneider U, Liang N, Besserer J.
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TIME-HYBRID HEAT AND WAVE EQUATIONS ON SCATTERED 𝑁-DIMENSIONAL COUPLED-JUMPING TIME SCALES
Проблемы анализа, 2022 In this paper, the exponential, hyperbolic, and trigonometric functions on 𝑛-dimensional coupled-jumping time scales (CJTS for short) are introduced. Based on this, we introduce the Laplace transform on 𝑛-dimensional CJTS and establish their related ...
Z. Li, C. Wang, R. P. Agarwal
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Advances in Difference Equations, 2021 This paper deals with Al-Salam fractional q-integral operator and its application to certain q-analogues of Bessel functions and power series. Al-Salam fractional q-integral operator has been applied to various types of q-Bessel functions and some power ...
Shrideh Al-Omari +2 more
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Results in Physics, 2021 Our aim in this paper is to determine rogue-wave solutions for Maccari-system. We also construct multi-waves, homoclinic breathers, M-shaped rational and periodic cross kink solutions with the combination of exponential, rational, trigonometric functions
Syed T.R. Rizvi +5 more
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A new exact quantum mechanical propagator [PDF]
, 1987 The authors derive a closed-form expression for the time-dependent propagator for a quantum mechanical particle which is subject to an external force which is the sum of (i) a reflecting half-plane barrier with a straight edge, and (ii) a harmonic force ...
Andel, P.W. van, Wiegel, F.W.
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Solitons, one line rogue wave and breather wave solutions of a new extended KP-equation
Results in Physics, 2023 The Kadomtsev–Petviashvili equation and its variants play a significant role in the description of several nonlinear phenomena arising in physics. In this paper, a new extension of the Kadomtsev–Petviashvili equation is considered.
Ghazala Akram +3 more
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Extremal functions in de Branges and Euclidean spaces [PDF]
, 2014 In this work we obtain optimal majorants and minorants of exponential type for a wide class of radial functions on $\mathbb{R}^N$. These extremal functions minimize the $L^1(\mathbb{R}^N, |x|^{2\nu + 2 - N}dx)$-distance to the original function, where ...
Carneiro, Emanuel, Littmann, Friedrich
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