A note on the order derivatives of Kelvin functions
Sign Up to like & getrecommendations! Published in 2019 at "Results in Mathematics"
DOI: 10.1007/s00025-019-0957-3
Abstract: We calculate the derivative of the $$\mathrm {ber}_{\nu }$$berν, $$\,\mathrm {bei} _{\nu }$$beiν, $$\mathrm {ker}_{\nu }$$kerν, and $$\,\mathrm {kei}_{\nu }$$keiν functions with respect to the order $$\nu $$ν in closed-form for $$\nu \in \mathbb {R}$$ν∈R.… read more here.
Keywords: bei; order; kei; mathrm ... See more keywords
Dynamic modeling of bone remodeling, osteolytic metastasis and PK/PD therapy: introducing variable order derivatives as a simplification technique.
Sign Up to like & getrecommendations! Published in 2021 at "Journal of mathematical biology"
DOI: 10.1007/s00285-021-01666-3
Abstract: Bone is constantly being renewed: in the adult skeleton, bone resorption and formation are in a tightly coupled balance, allowing for a constant bone density to be maintained. Yet this micro-environment provides the necessary conditions… read more here.
Keywords: bone; bone remodeling; therapy; variable order ... See more keywords
Explicit extraction of absorption peak positions, widths and heights using higher order derivatives of total shape spectra by nonparametric processing of time signals as complex damped multi-exponentials
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Chemistry"
DOI: 10.1007/s10910-017-0852-7
Abstract: Sole lineshape estimation of non-parametrically computed higher-order derivatives of spectral envelopes in different modes (complex, real, imaginary, magnitude) is investigated. The processed time signals are sums of complex attenuated exponentials (harmonics). The peak parameters of… read more here.
Keywords: time signals; widths heights; shape spectra; total shape ... See more keywords
Higher-order Taylor approximation of finite motions in mechanisms
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DOI: 10.1017/s0263574718000462
Abstract: SUMMARY Higher-order derivatives of kinematic mappings give insight into the motion characteristics of complex mechanisms. Screw theory and its associated Lie group theory have been used to find these derivatives of loop closure equations up… read more here.
Keywords: order taylor; order; approximation finite; higher order ... See more keywords
Note on the Higher-Order Derivatives of the Hyperharmonic Polynomials and the r-Stirling Polynomials of the First Kind
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DOI: 10.3390/axioms11040167
Abstract: In this paper, we focus on the higher-order derivatives of the hyperharmonic polynomials, which are a generalization of the ordinary harmonic numbers. We determine the hyperharmonic polynomials and their successive derivatives in terms of the… read more here.
Keywords: first kind; hyperharmonic polynomials; higher order; kind ... See more keywords
A Study of Some Families of Multivalent q-Starlike Functions Involving Higher-Order q-Derivatives
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DOI: 10.3390/math8091470
Abstract: In the present investigation, by using certain higher-order q-derivatives, the authors introduce and investigate several new subclasses of the family of multivalent q-starlike functions in the open unit disk. For each of these newly-defined function… read more here.
Keywords: multivalent starlike; order derivatives; starlike functions; higher order ... See more keywords