Results 91 to 100 of about 2,972,572 (324)

On Saigo fractional \(q\)-calculus of a general class of \(q\)-polynomials

Sahand Communications in Mathematical Analysis, 2023
Summary: In this paper, we derive Saigo fractional \(q\)-integrals of the general class of \(q\)-polynomials and demonstrate their application by investigating \(q\)-Konhouser biorthogonal polynomial, \(q\)-Jacobi polynomials and basic analogue of the Kampé de Fériet function.
Shimelis, Biniyam, Suthar, Dayalal
openaire   +2 more sources

Pharmacological chromatin remodeling enhances response to estrogen therapy in ER+ breast cancer

Molecular Oncology, EarlyView.
Estrogen therapy elicits clinical benefit in ~ 30% of patients with endocrine‐resistant estrogen receptor (ER)‐positive breast cancer. Based on findings that ER transcriptional activation underlies response to estrogen therapy, we tested the effects of epigenetic dysregulation via pharmacological inhibition of histone deacetylases (HDACi).
Anneka L. Johnson Thomas, Barbara Karakyriakou, Patricia C. Muskus, Alyssa M. Roberts, Justin Rendleman, Alexa Warren, Hanxu Lu, Kimberly A. Birmingham, Malone K. Friedman, Abigail E. Goen, Huijuan Yang, Owen M. Wilkins, Fred W. Kolling, Eugene Demidenko, Julie M. Jorns, Brock C. Christensen, Todd W. Miller   +16 more
wiley   +1 more source

New Forms of the Open Newton-Cotes-Type Inequalities for a Family of the Quantum Differentiable Convex Functions [PDF]

Sahand Communications in Mathematical Analysis
The main objective of this paper is to establish some new inequalities related to the open Newton-Cotes formulas in the setting of q-calculus. We establish a quantum integral identity first and then prove the desired inequalities for $q$-differentiable ...
Jarunee Soontharanon, Muhammad Ali, Shahram Rezapour, Muhammad Toseef, Thanin Sitthiwirattham   +4 more
doaj   +1 more source

Personal technology and the calculus [PDF]

, 1998
The calculus has long been seen as the pinnacle of mathematical endeavour in secondary schools, and rightly so. For as long as most of can remember, algebra and calculus have formed the trunk of mathematics, without which students can progress no further.
Kissane, B.
core  

Intrapatient tumour heterogeneity and clonal evolution in an autopsy study of metastatic salivary gland cancer

Molecular Oncology, EarlyView.
Tumour heterogeneity and clonal evolution of metastatic salivary gland cancer were evaluated in two patients with adenoid carcinoma and one patient with myoepithelial carcinoma. Radiology‐guided autopsy enabled multi‐region sampling (total samples n = 149), followed by whole‐genome sequencing and phylogenetic reconstruction (17 tumour samples, 4–7 per ...
Gerben Lassche, Niels J. van Ruitenbeek, Charlotte Adang, Luke O'Gorman, Pui Yuen Lee, Willemijn M. Klein, Adriana C. H. van Engen‐van Grunsven, Jack A. Schalken, Sander Bervoets, Gerald W. Verhaegh, Carla M. L. van Herpen   +10 more
wiley   +1 more source

Some reverse inequalities of Hardy type on time scales

Advances in Difference Equations, 2020
In this article, we obtain some new dynamic inequalities of Hardy type on time scales. The main results are derived using Fubini’s theorem and the chain rule on time scales.
A. A. El-Deeb, H. A. El-Sennary, Zareen A. Khan   +2 more
doaj   +1 more source

Castration‐resistant prostate cancer cells are addicted to the high activity of cyclin‐dependent kinase 2

Molecular Oncology, EarlyView.
We show that emergence of castration‐resistant prostate (CRPC) is associated with significant upregulation of cyclins that positively regulate cyclin‐dependent kinase 2 (CDK2) and concomitant downregulation of CDK4 cyclins. This renders CRPC cells dependent on the high activity of CDK2, and CDK2 inhibitors synergistically sensitize CRPC cells to both ...
Joyeeta Chatterjee, Alessia Marin, Shivani Yalala, Harri M. Itkonen   +3 more
wiley   +1 more source

Some properties of analytic functions associated with fractional q-calculus operators

Miskolc Mathematical Notes, 2019
. By applying a fractional q -calculus operator, we define the subclasses S ˛n .(cid:21);ˇ;b;q/ and G ˛n .(cid:21);ˇ;b;q/ of normalized analytic functions with complex order and negative coefficients.
H. Srivastava, M. K. Aouf, A. O. Mostafa
semanticscholar   +1 more source

Polarization‐resolved femtosecond Vis/IR spectroscopy tailored for resolving weak signals in biological samples using minimal sample volume

FEBS Open Bio, EarlyView.
Unique biological samples, such as site‐specific mutant proteins, are available only in limited quantities. Here, we present a polarization‐resolved transient infrared spectroscopy setup with referencing to improve signal‐to‐noise tailored towards tracing small signals. We provide an overview of characterizing the excitation conditions for polarization‐
Clark Zahn, Karsten Heyne
wiley   +1 more source

A new generalization of Mittag-Leffler function via q-calculus

, 2020
The present paper deals with a new different generalization of the Mittag-Leffler function through q -calculus. We then investigate its remarkable properties like convergence, recurrence relation, integral representation, q -derivative formula, q ...
R. Nadeem, T. Usman, K. Nisar, T. Abdeljawad   +3 more
semanticscholar   +1 more source