The Hermite polynomials and the Bessel functions from a general point of view by G. Dattoli, H. M. Srivastava, D. Sacchetti

“…We introduce new families of Hermite polynomials and of Bessel functions from a point of view involving the use of nonexponential generating functions. …”
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On Some New Hermite-Hadamard Type Inequalities for s-Geometrically Convex Functions by İmdat İşcan

“…Some new integral inequalities of Hermite-Hadamard type related to the s-geometrically convex functions are established and some applications to special means of positive real numbers are also given.…”
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Generalization of Hermite-Hadamard Type Inequalities via Conformable Fractional Integrals by Muhammad Adil Khan, Yousaf Khurshid, Ting-Song Du, Yu-Ming Chu

“…We establish a Hermite-Hadamard type identity and several new Hermite-Hadamard type inequalities for conformable fractional integrals and present their applications to special bivariate means.…”
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Hermite Interpolation Using Möbius Transformations of Planar Pythagorean-Hodograph Cubics by Sunhong Lee, Hyun Chol Lee, Mi Ran Lee, Seungpil Jeong, Gwang-Il Kim

“…We present an algorithm for C1 Hermite interpolation using Möbius transformations of planar polynomial Pythagoreanhodograph (PH) cubics. …”
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Impact of non-Hermiticity and nonlinear interactions on disorder-induced localized modes by Bhupesh Kumar, Jonathan Andreasen, Patrick Sebbah

“…Here, the degree of non-Hermiticity of an active scattering medium is controlled by shaping the pump. …”
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Fourier transform of hn(x + p)hn(x − p) by Mourad E. H. Ismail, Krzystztof Stempak

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Ince-Gaussian laser beams as superposition of Hermite-Gaussian or Laguerre-Gaussian beams by E.G. Abramochkin, V.V. Kotlyar, A.A. Kovalev

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New Modified Conformable Fractional Integral Inequalities of Hermite–Hadamard Type with Applications by Thabet Abdeljawad, Pshtiwan Othman Mohammed, Artion Kashuri

“…In this study, a few inequalities of Hermite–Hadamard type are constructed via the conformable fractional operators so that the normal version is recovered in its limit for the conformable fractional parameter. …”
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New Developments of Hermite–Hadamard Type Inequalities via s-Convexity and Fractional Integrals by Khuram Ali Khan, Saeeda Fatima, Ammara Nosheen, Rostin Matendo Mabela

“…In this paper, we present an identity for differentiable functions that has played an important role in proving Hermite–Hadamard type inequalities for functions whose absolute values of first derivatives are s-convex functions. …”
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Hermite-Hadamard Type Inequalities Associated with Coordinated ((s,m),QC)-Convex Functions by Yu-Mei Bai, Shan-He Wu, Ying Wu

“…In this paper, we introduce the definition of coordinated ((s,m),QC)-convex function and establish some Hermite-Hadamard type integral inequalities for coordinated ((s,m),QC)-convex functions.…”
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k -Fractional Variants of Hermite-Mercer-Type Inequalities via s-Convexity with Applications by Saad Ihsan Butt, Jamshed Nasir, Shahid Qaisar, Khadijah M. Abualnaja

“…This article is aimed at studying novel generalizations of Hermite-Mercer-type inequalities within the Riemann-Liouville k-fractional integral operators by employing s-convex functions. …”
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Solution of the Stochastic Heat Equation with Nonlinear Losses Using Wiener-Hermite Expansion by Mohamed A. El-Beltagy, Noha A. Al-Mulla

“…In the current work, the Wiener-Hermite expansion (WHE) is used to solve the stochastic heat equation with nonlinear losses. …”
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Hermite–Hadamard Type Inequalities via Generalized Harmonic Exponential Convexity and Applications by Saad Ihsan Butt, Muhammad Tariq, Adnan Aslam, Hijaz Ahmad, Taher A. Nofal

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Fractional Hermite–Jensen–Mercer Integral Inequalities with respect to Another Function and Application by Saad Ihsan Butt, Muhammad Umar, Khuram Ali Khan, Artion Kashuri, Homan Emadifar

“…In this paper, authors prove new variants of Hermite–Jensen–Mercer type inequalities using ψ–Riemann–Liouville fractional integrals with respect to another function via convexity. …”
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Hermite-Hadamard inequalities for exponential type harmonically $ ( \alpha, s)_{h}$-convex functions by Kemi Apanpa, Adesanmi Mogbademu, Johnson Olalerun

“…In this paper, the authors study and introduce some new integral forms of Hermite-Hadamard inequalities in the form of harmonically convex functions known as exponential type harmonically $ (\alpha, s)_{h}$-convex function. …”
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Application of the Rational Hermite Interpolation LMD Method in the Compound Fault Diagnosis Research by Cui Yanping, Lu Zhaojing, Wu Chunyu

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Observing non-Hermiticity induced chirality breaking in a synthetic Hall ladder by Rui Ye, Yanyan He, Guangzhen Li, Luojia Wang, Xiaoxiong Wu, Xin Qiao, Yuanlin Zheng, Liang Jin, Da-Wei Wang, Luqi Yuan, Xianfeng Chen

“…Here we report the experimental observation of the break of chiral currents in a Hall ladder from the non-Hermiticity by constructing synthetic frequency dimension in two rings, where currents on both legs of the ladder co-propagate in the same direction. …”
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Hermite–Hadamard- and Pachpatte-type integral inequalities for generalized subadditive functions in the fractal sense by Tingsong Du, Lei Xu

“…In this paper, we establish the generalized Hermite–Hadamard- and Pachpatte-type integral inequalities for local fractional integrals via the generalized subadditive functions. …”
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New extensions version of Hermite–Hadamard type inequalities by means of conformable fractional integrals by Umut Bas, Hüseyin Budak, Hasan Kara

“…What’s more, we prove the Hermite-Hadamard inequality, which includes conformable fractional integrals, with the aid of condition f′(a+b−t)−f′(t)≥0,t∈ [a,a+b2]…”
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Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable (𝛼,𝑚)-Convex Mappings by Jaekeun Park

“…The author establish several Hermite-Hadamard and Simpson-like type inequalities for mappings whose first derivative in absolute value aroused to the 𝑞th (𝑞≥1) power are (𝛼,𝑚)-convex. …”
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