A New Generating Function for Hermite Polynomials
International Journal of Mathematics and Mathematical SciencesThis paper presents a new generating function of the form gx,t=∑n=0∞tnHnex for Hermite polynomials and reveals its connection with the incomplete gamma function.
Manouchehr Amiri
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Generalized Horadam Polynomials and Numbers
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 We consider the polynomials hn,m(x) (m ≥ 2) and the numbers hn,m (x = 1), which are the generalized Horadam polynomials and the generalized Horadam numbers, respectively. We also consider the polynomials h(s)n,m(x)- convolutions of the polynomials hn,m(x)
Djordjevic Snezana S. +1 more
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The Caenorhabditis elegans DPF‐3 and human DPP4 have tripeptidyl peptidase activity
FEBS Letters, EarlyView.The dipeptidyl peptidase IV (DPPIV) family comprises serine proteases classically defined by their ability to remove dipeptides from the N‐termini of substrates, a feature that gave the family its name. Here, we report the discovery of a previously unrecognized tripeptidyl peptidase activity in DPPIV family members from two different species.
Aditya Trivedi, Rajani Kanth Gudipati
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Solving arbitrary one-loop reduction via generating function
European Physical Journal C: Particles and FieldsRecently, the concept of generating function has been employed in one-loop reduction. For one-loop integrals encompassing arbitrary tensor ranks and higher-pole contributions, the generating function can be decomposed into a tensor part and a higher-pole
Tingfei Li, Yuekai Song, Liang Zhang
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A family of trivariate Gould-Hopper-Bell-Apostol-Type polynomials: Construction and properties
AIMS MathematicsIn this study, we define and investigate a new hybrid family of special polynomials, named the trivariate Gould-Hopper-Bell-Apostol-type polynomials.
Rabeb Sidaoui +6 more
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ON THE DISTRIBUTION OF THE SECOND DEGREES OF CONFIGURATION GRAPHS VERTICES
Transactions of the Karelian Research Centre of the Russian Academy of Sciences, 2019 The object is configuration graphs with N vertices, numbered from 1 to N, whosevertex degrees are independent identically distributed random variables.
Elena Khvorostyanskaya
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Molecular Weight Distribution Control for Polymerization Processes Based on the Moment-Generating Function. [PDF]
Entropy (Basel), 2022 Zhang J, Pu J, Ren M.
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Molecular bases of circadian magnesium rhythms across eukaryotes
FEBS Letters, EarlyView.Circadian rhythms in intracellular [Mg2+] exist across eukaryotic kingdoms. Central roles for Mg2+ in metabolism suggest that Mg2+ rhythms could regulate daily cellular energy and metabolism. In this Perspective paper, we propose that ancestral prokaryotic transport proteins could be responsible for mediating Mg2+ rhythms and posit a feedback model ...
Helen K. Feord, Gerben van Ooijen
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A Fourier-cumulant analysis for multiharmonic flow fluctuation: by employing a multidimensional generating function approach. [PDF]
Eur Phys J C Part Fields, 2021 Taghavi SF.
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Peptide‐based ligand antagonists block a Vibrio cholerae adhesin
FEBS Letters, EarlyView.The structure of a peptide‐binding domain of the Vibrio cholerae adhesin FrhA was solved by X‐ray crystallography, revealing how the inhibitory peptide AGYTD binds tightly at its Ca2+‐coordinated pocket. Structure‐guided design incorporating D‐amino acids enhanced binding affinity, providing a foundation for developing anti‐adhesion therapeutics ...
Mingyu Wang +9 more
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