Zobrazeno 1 - 10
of 7 443
pro vyhledávání: '"A. Adegoke"'
Autor:
Adegoke, Kunle
We give a short proof of the well-known Knuth's old sum and provide some generalizations. Our approach utilizes the binomial theorem and integration formulas derived using the Beta function. Several new polynomial identities and combinatorial identit
Externí odkaz:
http://arxiv.org/abs/2412.00040
Autor:
Adegoke, Kunle, Frontczak, Robert
Two classes of infinite series involving harmonic numbers and the binomial coefficient $C(3n,n)$ are evaluated in closed form using integrals. Several remarkable integral values and difficult series identities are stated as special cases of the main
Externí odkaz:
http://arxiv.org/abs/2412.00024
Autor:
Adegoke, Kunle, Frontczak, Robert
Based on a recent representation of the psi function due to Guillera and Sondow and independently Boyadzhiev, new closed forms for various series involving harmonic numbers and inverse factorials are derived. A high point of the presentation is the r
Externí odkaz:
http://arxiv.org/abs/2411.11849
Autor:
Adegoke, Kunle, Frontczak, Robert
We apply a seemingly forgotten series expression of N\"orlund for the psi function to express infinite series involving inverse factorials in closed form. Many of such series contain products of Catalan numbers and (odd) harmonic numbers. We also pro
Externí odkaz:
http://arxiv.org/abs/2410.22343
Autor:
Adegoke, Oluwashina, Garcia, Javier, Connors, Riley, Ding, Yuanze, Mastroserio, Guglielmo, Steiner, James, Ingram, Adam, Harrison, Fiona, Tomsick, John, Kara, Erin, Mehdipour, Missagh, Fukumura, Keigo, Stern, Daniel, Ubach, Santiago, Lucchini, Matteo
MAXI J1803-298 is a transient black hole candidate discovered in May of 2021 during an outburst that lasted several months. Multiple X-ray observations reveal recurring "dipping" intervals in several of its light curves, particularly during the hard/
Externí odkaz:
http://arxiv.org/abs/2410.01134
Using a direct algebraic approach we derive convolution identities for second order sequences, hereby distinguishing between sequences obeying the same or different recurrence relations. We also state a general convolution for Horadam sequences. Conv
Externí odkaz:
http://arxiv.org/abs/2409.14358
Autor:
Gandhi, P., Borowski, E. S., Byrom, J., Hynes, R. I., Maccarone, T. J., Shaw, A. W., Adegoke, O. K., Altamirano, D., Baglio, M. C., Bhargava, Y., Britt, C. T., Buckley, D. A. H., Buisson, D. J. K., Casella, P., Segura, N. Castro, Charles, P. A., Corral-Santana, J. M., Dhillon, V. S., Fender, R., Gúrpide, A., Heinke, C. O., Igl, A. B., Knigge, C., Markoff, S., Mastroserio, G., McCollough, M. L., Middleton, M., Miller, J. M., Miller-Jones, J. C. A., Motta, S. E., Paice, J. A., Pawar, D. D., Plotkin, R. M., Pradhan, P., Ressler, M. E., Russell, D. M., Russell, T. D., Santos-Sanz, P., Shahbaz, T., Sivakoff, G. R., Steeghs, D., Tetarenko, A. J., Tomsick, J. A., Vincentelli, F. M., George, M., Gurwell, M., Rao, R.
We present mid-infrared (MIR) spectral-timing measurements of the prototypical Galactic microquasar GRS 1915+105. The source was observed with the Mid-Infrared Instrument (MIRI) onboard JWST in June 2023 at a MIR luminosity L(MIR)~10^{36} erg/s excee
Externí odkaz:
http://arxiv.org/abs/2406.18637
Autor:
Adegoke, Kunle, Frontczak, Robert
Multiple 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. Several corollaries and examples are presented which are immediate con
Externí odkaz:
http://arxiv.org/abs/2406.06797
Autor:
Adegoke, Kunle, Frontczak, Robert
We present a range of difficult integration formulas involving Fibonacci and Lucas numbers and trigonometric functions. These formulas are often expressed in terms of special functions like the dilogarithm and Clausen's function. We also prove comple
Externí odkaz:
http://arxiv.org/abs/2406.00064
Autor:
Adegoke, Kunle, Frontczak, Robert
In this note, we show how a combinatorial identity of Frisch can be applied to prove and generalize some well-known identities involving harmonic numbers. We also present some combinatorial identities involving odd harmonic numbers which can be infer
Externí odkaz:
http://arxiv.org/abs/2405.10978