Results 41 to 50 of about 54,116 (276)
Combinatorial Identities with Multiple Harmonic-like Numbers
AppliedMathMultiple harmonic-like numbers are studied using the generating function approach. A closed form is stated for binomial sums involving these numbers and two additional parameters.
Kunle Adegoke, Robert Frontczak
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Objective To evaluate the diagnostic yield and utility of universal paired tumor–normal multigene panel sequencing in newly diagnosed pediatric solid and central nervous system (CNS) tumor patients and to compare the detection of germline pathogenic/likely pathogenic variants (PV/LPVs) against established clinical referral criteria for cancer ...
Natalie Waligorski +9 more
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Lerch-harmonic numbers related to Lerch transcendent
Mathematical and Computer Modelling of Dynamical Systems, 2023 Harmonic numbers and generalized harmonic numbers have been studied in connection with combinatorial problems, many expressions involving special functions in analytic number theory and analysis of algorithms.
Taekyun Kim +3 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Purpose Although not always achieved, complete chemotherapy‐induced nausea and vomiting (CINV) control is the conventional goal of CINV prophylaxis. In this two‐center, mixed‐methods study, we sought to understand the preferences of adolescent patients and family caregivers for CINV control endpoints.
Haley Newman +8 more
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Weighted Lattice Paths Enumeration by Gaussian Polynomials
, 2017 The Gaussian polynomial in variable $q$ is defined as the $q$-analog of the binomial coefficient. In addition to remarkable implications of these polynomials to abstract algebra, matrix theory and quantum computing, there is also a combinatorial ...
Martinjak, Ivica, Zubac, Ivana
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Nurses are central to cancer care for children and adolescents, yet no comprehensive synthesis has defined essential core competencies for pediatric oncology nursing (PON) practice internationally, particularly in Latin America and the Caribbean (LAC).
Luís Carlos Lopes‐Júnior +7 more
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Human and constructive proof of combinatorial identities: an example from Romik [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 It has become customary to prove binomial identities by means of the method for automated proofs as developed by Petkovšek, Wilf and Zeilberger. In this paper, we wish to emphasize the role of "human'' and constructive proofs in contrast with the ...
D. Merlini, R. Sprugnoli, M. C. Verri
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On Fibonacci (k,p)-Numbers and Their Interpretations
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023 In this paper, we define new kinds of Fibonacci numbers, which generalize both Fibonacci, Jacobsthal, Narayana numbers and Fibonacci p-numbers in the distance sense, using the definition of a distance between numbers by a recurrence relation according to
Berke Cengiz, Yasemin Taşyurdu
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Supernomial coefficients, polynomial identities and $q$-series
, 1997 $q$-Analogues of the coefficients of $x^a$ in the expansion of $\prod_{j=1}^N (1+x+...+x^j)^{L_j}$ are proposed. Useful properties, such as recursion relations, symmetries and limiting theorems of the ``$q$-supernomial coefficients'' are derived, and a ...
Schilling, Anne, Warnaar, S. Ole
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Prevalence and Trajectory of Household Material Hardship Among Children With Advanced Cancer
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background/Objectives Families of children with advanced cancer living in poverty experience inferior outcomes including poor parent mental health and worse child quality of life. Household material hardship (HMH: food, housing, transportation, and/or utility insecurity) is a modifiable poverty exposure—and potential intervention target—that ...
Sarah Wright +13 more
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