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Khan, Waseem Ahmad,Haroon, Hiba The Honam Mathematical Society 2019 호남수학학술지 Vol.41 No.1
In the current investigation, we obtain the generating function for Hermite-based degenerate Bernoulli polynomials attached to ${\chi}$ of higher order using p-adic methods over the ring of integers. Useful identities, formulae and relations with well known families of polynomials and numbers including the Bernoulli numbers, Daehee numbers and the Stirling numbers are established. We also give identities of symmetry and additive property for Hermite-based generalized degenerate Bernoulli polynomials attached to ${\chi}$ of higher order. Results are supported by remarks and corollaries.
Some Properties of the Generalized Apostol Type Hermite-Based Polynomials
KHAN, WASEEM AHMAD Department of Mathematics 2015 Kyungpook mathematical journal Vol.55 No.3
In this paper, we study some properties of the generalized Apostol type Hermite-based polynomials. which extend some known results. We also deduce some properties of the generalized Apostol-Bernoulli polynomials, the generalized Apostol-Euler polynomials and the generalized Apostol-Genocchi polynomials of high order. Numerous properties of these polynomials and some relationships between $F_n{^{({\alpha})}}(x;{\lambda};{\mu};{\nu};c)$ and $_HF_n{^{({\alpha})}}(x;{\lambda};{\mu};{\nu};c)$ are established. Some implicit summation formulae and general symmetry identities are derived by using different analytical means and applying generating functions.
A novel kind of Hermite based Frobenius type Eulerian polynomials
Waseem Ahmad Khan,Kottakkaran Sooppy Nisar,MEHMET ACIKGOZ,UGUR DURAN 장전수학회 2019 Proceedings of the Jangjeon mathematical society Vol.22 No.4
After the inspirational innovation of fuzzy set by Zadeh in 1965, Kramosil and Michalek in 1975 pioneered the concept of fuzziness in metric spaces and very rst they formulated the notion of fuzzy met- ric spaces. Jungck introduced the idea of commutativity (in 1976) and compatibility (1986) in metric spaces and same are utilized by Subrah- manyam (in 1995) in fuzzy metric spaces to prove an analogues version of Jungck result. In this paper, we prove common xed point theorems for a pair of self-maps by introducing a new contraction which neither requires completeness of spaces nor continuity and compatible property of maps. An open problem and an example is given to justify the im- portance of our main result.
Dataset Standardization for Effective Solar Power Forecasting : A Comprehensive Analysis
Zulfiqar Ahmad Khan,Waseem Ullah,Hikmat Yar,Noman Khan,Min Je Kim,Sung Wook Baik 한국차세대컴퓨팅학회 2023 한국차세대컴퓨팅학회 학술대회 Vol.2023 No.12
This paper introduces a comprehensive approach to dataset standardization aimed at enhancing the effectiveness and reliability of solar power forecasting models. Leveraging multiple datasets, this study incorporates additional attributes such as atmospheric pressure and sunshine duration. These enrichments bridge critical gaps in meteorological and environmental data, facilitating more robust and precise solar power forecasting. The paper underscores the significance of these attributes, furnishes detailed equations for their computation, and presents the outcomes of their integration. It underscores their pivotal role in enabling solar energy stakeholders to make informed decisions and optimize energy production effectively.
Partially degenerate poly-Bernoulli polynomials associated with Hermite polynomials
WASEEM A. KHAN,Moin Ahmad 장전수학회 2018 Advanced Studies in Contemporary Mathematics Vol.28 No.3
In this paper, we derive generating functions for the partially degenerate Hermite poly-Bernoulli polynomials and investigate some properties of these polynomials related to the Stirling numbers of the second kind. Further, we derive the summation formulae and general symmetry identities for that polynomials by using different analytical means on its generating function. Also, generating functions and summation formulae for the polynomials related to partially degenerate Hermite poly- Bernoulli polynomials are obtained as applications of main results.
CERTAIN NEW EXTENSION OF HURWITZ-LERCH ZETA FUNCTION
WASEEM A. KHAN,M. GHAYASUDDIN,Moin Ahmad 한국전산응용수학회 2019 Journal of applied mathematics & informatics Vol.37 No.1
In the present research paper, we introduce a further exten- sion of Hurwitz-Lerch zeta function by using the generalized extended Beta function dened by Parmar et al. [9]. We investigate its integral represen- tations, Mellin transform, generating functions and dierential formula. In view of diverse applications of the Hurwitz-Lerch Zeta functions, the results presented here may be potentially useful in some related research areas.
CERTAIN NEW EXTENSION OF HURWITZ-LERCH ZETA FUNCTION
KHAN, WASEEM A.,GHAYASUDDIN, M.,AHMAD, MOIN The Korean Society for Computational and Applied M 2019 Journal of applied mathematics & informatics Vol.37 No.1
In the present research paper, we introduce a further extension of Hurwitz-Lerch zeta function by using the generalized extended Beta function defined by Parmar et al.. We investigate its integral representations, Mellin transform, generating functions and differential formula. In view of diverse applications of the Hurwitz-Lerch Zeta functions, the results presented here may be potentially useful in some related research areas.
Habib Khan,Zulfiqar Ahmad Khan,Waseem Ullah,Min Jee Kim,Mi Young Lee,Sung Wook Baik 한국차세대컴퓨팅학회 2023 한국차세대컴퓨팅학회 학술대회 Vol.2023 No.06
Accurate detection of small targets in aerial images is crucial but challenging due to the limited computational resources of UAVs. This paper presents an efficient approach based on YOLO-V5S for detecting and classifying distant vehicles in aerial scenes. Extensive ablation study is conducted to find the optimal YOLO architecture. The proposed method is efficient and effective, making it applicable for real-time deployment. A dataset of 1000 annotated images are developed to validate the proposed method's effectiveness. The proposed network outperforms existing state-of-the-art methods in accuracy, speed, and resource efficiency, making it a promising solution for aerial vision-based applications.
Noman Khan,Waseem Ullah,Zulfiqar Ahmad Khan,Adnan Hussain,Min Je Kim,Sang Il Yoon,Sung Wook Baik 한국차세대컴퓨팅학회 2023 한국차세대컴퓨팅학회 학술대회 Vol.2023 No.12
Sustainable power systems should include solar energy generation. However, for effective grid management and the integration of renewable energy sources, accurate solar power generation predictions are essential. Therefore, this study compares the prediction of solar power forecasting in Italy and Bulgaria. These are two countries that have alike latitudes but different populations and solar energy production. The historical solar power generation and meteorological data from these countries are preprocessed and then used to apply four different deep learning models including Convolutional Neural Network (CNN), Recurrent Neural Network (RNN), Long Short-Term Memory (LSTM), and Gated Recurrent Unit (GRU). The results are analyzed to gain insights into how the proximity of geographical locations and the quality and quantity of data impact the precision of prediction algorithms.
Antifilarial activity of Nigella sativa on Setaria cervi-an in vitro study
Rizvi, Waseem,Kumar, Anil,Rizvi, NH,Ahmad, Razi,Singhal, KC,Khan, Atif Kyung Hee Oriental Medicine Research Center 2005 Oriental pharmacy and experimental medicine Vol.5 No.3
The effect of aqueous and alcoholic extract of seeds of Nigella sativa (N. sativa) was studied on the spontaneous movements of the whole worm (w.w) preparation and nerve muscle (n.m) complex of Setaria cervi (S. cervi). Both the extracts caused inhibition of spontaneous movements of the w.w and n.m complex characterized by initial stimulation followed by irreversible paralysis, with the exception that aqueous extract produced a partially reversible paralysis of w.w preparation. Lesser concentration of both the extracts was required to inhibit the movements of n.m complex than the w.w. Suggesting a cuticular permeability barrier. The lethal concentration $50\;(LC_{50})$ and lethal concentration $90\;(LC_{90})$ were 30 and 55 ng/ml for aqueous and 45 and 60 ng/ml for alcoholic extracts respectively.